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Finding the Fourth Proportional to 78,257,905.80, 109,417,579.05 and 78,257,905.80

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Solution

The fourth proportional to 78,257,905.80, 109,417,579.05 and 78,257,905.80 is: 109,417,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,257,905.80 : 109,417,579.05 = 78,257,905.80 : x
  2. Step 2: Convert to fraction form
    78,257,905.80/109,417,579.05 = 78,257,905.80/x
  3. Step 3: Cross multiply
    78,257,905.80x = 109,417,579.05 × 78,257,905.80
  4. Step 4: Simplify right side
    78,257,905.80x = 8,562,790,594,158,953
  5. Step 5: Solve for x
    x = 8,562,790,594,158,953/78,257,905.80
  6. Step 6: Final answer
    x = 109,417,579.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.