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Finding the Fourth Proportional to 211,053.69, 316,505.81 and 77,898.20

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Solution

The fourth proportional to 211,053.69, 316,505.81 and 77,898.20 is: 116,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,053.69 : 316,505.81 = 77,898.20 : x
  2. Step 2: Convert to fraction form
    211,053.69/316,505.81 = 77,898.20/x
  3. Step 3: Cross multiply
    211,053.69x = 316,505.81 × 77,898.20
  4. Step 4: Simplify right side
    211,053.69x = 24,655,231,500.76
  5. Step 5: Solve for x
    x = 24,655,231,500.76/211,053.69
  6. Step 6: Final answer
    x = 116,819.71

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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.