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Finding the Fourth Proportional to 154,641.96, 231,963.98 and 42,319.67

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Solution

The fourth proportional to 154,641.96, 231,963.98 and 42,319.67 is: 63,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,641.96 : 231,963.98 = 42,319.67 : x
  2. Step 2: Convert to fraction form
    154,641.96/231,963.98 = 42,319.67/x
  3. Step 3: Cross multiply
    154,641.96x = 231,963.98 × 42,319.67
  4. Step 4: Simplify right side
    154,641.96x = 9,816,637,714.07
  5. Step 5: Solve for x
    x = 9,816,637,714.07/154,641.96
  6. Step 6: Final answer
    x = 63,479.78

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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.