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Finding the Fourth Proportional to 154,929, 213,802.02 and 87,861

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Solution

The fourth proportional to 154,929, 213,802.02 and 87,861 is: 121,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,929 : 213,802.02 = 87,861 : x
  2. Step 2: Convert to fraction form
    154,929/213,802.02 = 87,861/x
  3. Step 3: Cross multiply
    154,929x = 213,802.02 × 87,861
  4. Step 4: Simplify right side
    154,929x = 18,784,859,279.22
  5. Step 5: Solve for x
    x = 18,784,859,279.22/154,929
  6. Step 6: Final answer
    x = 121,248.18

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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.