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Finding the Fourth Proportional to 157,935.14, 217,950.51 and 86,315.14

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Solution

The fourth proportional to 157,935.14, 217,950.51 and 86,315.14 is: 119,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,935.14 : 217,950.51 = 86,315.14 : x
  2. Step 2: Convert to fraction form
    157,935.14/217,950.51 = 86,315.14/x
  3. Step 3: Cross multiply
    157,935.14x = 217,950.51 × 86,315.14
  4. Step 4: Simplify right side
    157,935.14x = 18,812,429,379.84
  5. Step 5: Solve for x
    x = 18,812,429,379.84/157,935.14
  6. Step 6: Final answer
    x = 119,114.91

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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.