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Finding the Fourth Proportional to 135,830.65, 187,465.79 and 81,384.97

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Solution

The fourth proportional to 135,830.65, 187,465.79 and 81,384.97 is: 112,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830.65 : 187,465.79 = 81,384.97 : x
  2. Step 2: Convert to fraction form
    135,830.65/187,465.79 = 81,384.97/x
  3. Step 3: Cross multiply
    135,830.65x = 187,465.79 × 81,384.97
  4. Step 4: Simplify right side
    135,830.65x = 15,256,897,695.18
  5. Step 5: Solve for x
    x = 15,256,897,695.18/135,830.65
  6. Step 6: Final answer
    x = 112,322.94

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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.