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Finding the Fourth Proportional to 284,612.60, 426,918.90 and 107,159.42

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Solution

The fourth proportional to 284,612.60, 426,918.90 and 107,159.42 is: 160,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,612.60 : 426,918.90 = 107,159.42 : x
  2. Step 2: Convert to fraction form
    284,612.60/426,918.90 = 107,159.42/x
  3. Step 3: Cross multiply
    284,612.60x = 426,918.90 × 107,159.42
  4. Step 4: Simplify right side
    284,612.60x = 45,748,381,711.04
  5. Step 5: Solve for x
    x = 45,748,381,711.04/284,612.60
  6. Step 6: Final answer
    x = 160,739.13

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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.