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Finding the Fourth Proportional to 157,129.83, 216,836.07 and 85,511.07

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Solution

The fourth proportional to 157,129.83, 216,836.07 and 85,511.07 is: 118,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,129.83 : 216,836.07 = 85,511.07 : x
  2. Step 2: Convert to fraction form
    157,129.83/216,836.07 = 85,511.07/x
  3. Step 3: Cross multiply
    157,129.83x = 216,836.07 × 85,511.07
  4. Step 4: Simplify right side
    157,129.83x = 18,541,884,360.29
  5. Step 5: Solve for x
    x = 18,541,884,360.29/157,129.83
  6. Step 6: Final answer
    x = 118,003.59

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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.