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Finding the Fourth Proportional to 78,614.42, 117,827.46 and 36,437.31

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Solution

The fourth proportional to 78,614.42, 117,827.46 and 36,437.31 is: 54,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,614.42 : 117,827.46 = 36,437.31 : x
  2. Step 2: Convert to fraction form
    78,614.42/117,827.46 = 36,437.31/x
  3. Step 3: Cross multiply
    78,614.42x = 117,827.46 × 36,437.31
  4. Step 4: Simplify right side
    78,614.42x = 4,293,315,686.53
  5. Step 5: Solve for x
    x = 4,293,315,686.53/78,614.42
  6. Step 6: Final answer
    x = 54,612.32

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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.