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Finding the Fourth Proportional to 78,029.80, 116,846.70 and 42,929.80

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Solution

The fourth proportional to 78,029.80, 116,846.70 and 42,929.80 is: 64,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,029.80 : 116,846.70 = 42,929.80 : x
  2. Step 2: Convert to fraction form
    78,029.80/116,846.70 = 42,929.80/x
  3. Step 3: Cross multiply
    78,029.80x = 116,846.70 × 42,929.80
  4. Step 4: Simplify right side
    78,029.80x = 5,016,205,461.66
  5. Step 5: Solve for x
    x = 5,016,205,461.66/78,029.80
  6. Step 6: Final answer
    x = 64,285.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.