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Finding the Fourth Proportional to 96,772.10, 144,866.55 and 85,108.10

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Solution

The fourth proportional to 96,772.10, 144,866.55 and 85,108.10 is: 127,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,772.10 : 144,866.55 = 85,108.10 : x
  2. Step 2: Convert to fraction form
    96,772.10/144,866.55 = 85,108.10/x
  3. Step 3: Cross multiply
    96,772.10x = 144,866.55 × 85,108.10
  4. Step 4: Simplify right side
    96,772.10x = 12,329,316,824.06
  5. Step 5: Solve for x
    x = 12,329,316,824.06/96,772.10
  6. Step 6: Final answer
    x = 127,405.70

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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.