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Finding the Fourth Proportional to 158,436, 218,641.68 and 87,780

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Solution

The fourth proportional to 158,436, 218,641.68 and 87,780 is: 121,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,436 : 218,641.68 = 87,780 : x
  2. Step 2: Convert to fraction form
    158,436/218,641.68 = 87,780/x
  3. Step 3: Cross multiply
    158,436x = 218,641.68 × 87,780
  4. Step 4: Simplify right side
    158,436x = 19,192,366,670.40
  5. Step 5: Solve for x
    x = 19,192,366,670.40/158,436
  6. Step 6: Final answer
    x = 121,136.40

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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.