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Finding the Fourth Proportional to 154,106.92, 231,178.80 and 65,348.89

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Solution

The fourth proportional to 154,106.92, 231,178.80 and 65,348.89 is: 98,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,106.92 : 231,178.80 = 65,348.89 : x
  2. Step 2: Convert to fraction form
    154,106.92/231,178.80 = 65,348.89/x
  3. Step 3: Cross multiply
    154,106.92x = 231,178.80 × 65,348.89
  4. Step 4: Simplify right side
    154,106.92x = 15,107,277,971.53
  5. Step 5: Solve for x
    x = 15,107,277,971.53/154,106.92
  6. Step 6: Final answer
    x = 98,031.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.