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Finding the Fourth Proportional to 185,731.68, 278,598.24 and 45,490.32

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Solution

The fourth proportional to 185,731.68, 278,598.24 and 45,490.32 is: 68,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,731.68 : 278,598.24 = 45,490.32 : x
  2. Step 2: Convert to fraction form
    185,731.68/278,598.24 = 45,490.32/x
  3. Step 3: Cross multiply
    185,731.68x = 278,598.24 × 45,490.32
  4. Step 4: Simplify right side
    185,731.68x = 12,673,523,089.04
  5. Step 5: Solve for x
    x = 12,673,523,089.04/185,731.68
  6. Step 6: Final answer
    x = 68,235.66

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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.