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Finding the Fourth Proportional to 157,142.81, 216,819.26 and 92,614.62

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Solution

The fourth proportional to 157,142.81, 216,819.26 and 92,614.62 is: 127,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,142.81 : 216,819.26 = 92,614.62 : x
  2. Step 2: Convert to fraction form
    157,142.81/216,819.26 = 92,614.62/x
  3. Step 3: Cross multiply
    157,142.81x = 216,819.26 × 92,614.62
  4. Step 4: Simplify right side
    157,142.81x = 20,080,634,070.89
  5. Step 5: Solve for x
    x = 20,080,634,070.89/157,142.81
  6. Step 6: Final answer
    x = 127,785.89

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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.