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Finding the Fourth Proportional to 154,809.16, 232,213.92 and 42,490.91

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Solution

The fourth proportional to 154,809.16, 232,213.92 and 42,490.91 is: 63,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,809.16 : 232,213.92 = 42,490.91 : x
  2. Step 2: Convert to fraction form
    154,809.16/232,213.92 = 42,490.91/x
  3. Step 3: Cross multiply
    154,809.16x = 232,213.92 × 42,490.91
  4. Step 4: Simplify right side
    154,809.16x = 9,866,980,775.47
  5. Step 5: Solve for x
    x = 9,866,980,775.47/154,809.16
  6. Step 6: Final answer
    x = 63,736.41

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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.