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Finding the Fourth Proportional to 157,053.86, 216,736.93 and 85,434.27

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Solution

The fourth proportional to 157,053.86, 216,736.93 and 85,434.27 is: 117,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,053.86 : 216,736.93 = 85,434.27 : x
  2. Step 2: Convert to fraction form
    157,053.86/216,736.93 = 85,434.27/x
  3. Step 3: Cross multiply
    157,053.86x = 216,736.93 × 85,434.27
  4. Step 4: Simplify right side
    157,053.86x = 18,516,761,396.59
  5. Step 5: Solve for x
    x = 18,516,761,396.59/157,053.86
  6. Step 6: Final answer
    x = 117,900.71

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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.