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Finding the Fourth Proportional to 77,150, 106,461.96 and 43,152.58

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Solution

The fourth proportional to 77,150, 106,461.96 and 43,152.58 is: 59,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,150 : 106,461.96 = 43,152.58 : x
  2. Step 2: Convert to fraction form
    77,150/106,461.96 = 43,152.58/x
  3. Step 3: Cross multiply
    77,150x = 106,461.96 × 43,152.58
  4. Step 4: Simplify right side
    77,150x = 4,594,108,245.86
  5. Step 5: Solve for x
    x = 4,594,108,245.86/77,150
  6. Step 6: Final answer
    x = 59,547.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.