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Finding the Fourth Proportional to 78,335.16, 108,101.88 and 42,524.43

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Solution

The fourth proportional to 78,335.16, 108,101.88 and 42,524.43 is: 58,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335.16 : 108,101.88 = 42,524.43 : x
  2. Step 2: Convert to fraction form
    78,335.16/108,101.88 = 42,524.43/x
  3. Step 3: Cross multiply
    78,335.16x = 108,101.88 × 42,524.43
  4. Step 4: Simplify right side
    78,335.16x = 4,596,970,828.93
  5. Step 5: Solve for x
    x = 4,596,970,828.93/78,335.16
  6. Step 6: Final answer
    x = 58,683.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.