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Finding the Fourth Proportional to 78,502.30, 117,721.75 and 30,445.61

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Solution

The fourth proportional to 78,502.30, 117,721.75 and 30,445.61 is: 45,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502.30 : 117,721.75 = 30,445.61 : x
  2. Step 2: Convert to fraction form
    78,502.30/117,721.75 = 30,445.61/x
  3. Step 3: Cross multiply
    78,502.30x = 117,721.75 × 30,445.61
  4. Step 4: Simplify right side
    78,502.30x = 3,584,110,489.02
  5. Step 5: Solve for x
    x = 3,584,110,489.02/78,502.30
  6. Step 6: Final answer
    x = 45,656.12

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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.