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Finding the Fourth Proportional to 158,004.59, 218,046.24 and 86,384.57

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Solution

The fourth proportional to 158,004.59, 218,046.24 and 86,384.57 is: 119,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,004.59 : 218,046.24 = 86,384.57 : x
  2. Step 2: Convert to fraction form
    158,004.59/218,046.24 = 86,384.57/x
  3. Step 3: Cross multiply
    158,004.59x = 218,046.24 × 86,384.57
  4. Step 4: Simplify right side
    158,004.59x = 18,835,829,592.29
  5. Step 5: Solve for x
    x = 18,835,829,592.29/158,004.59
  6. Step 6: Final answer
    x = 119,210.65

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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.