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Finding the Fourth Proportional to 78,334.79, 108,102.14 and 42,524.82

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Solution

The fourth proportional to 78,334.79, 108,102.14 and 42,524.82 is: 58,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334.79 : 108,102.14 = 42,524.82 : x
  2. Step 2: Convert to fraction form
    78,334.79/108,102.14 = 42,524.82/x
  3. Step 3: Cross multiply
    78,334.79x = 108,102.14 × 42,524.82
  4. Step 4: Simplify right side
    78,334.79x = 4,597,024,045.11
  5. Step 5: Solve for x
    x = 4,597,024,045.11/78,334.79
  6. Step 6: Final answer
    x = 58,684.32

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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.