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Finding the Fourth Proportional to 81,838.32, 122,597.16 and 42,421.44

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Solution

The fourth proportional to 81,838.32, 122,597.16 and 42,421.44 is: 63,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838.32 : 122,597.16 = 42,421.44 : x
  2. Step 2: Convert to fraction form
    81,838.32/122,597.16 = 42,421.44/x
  3. Step 3: Cross multiply
    81,838.32x = 122,597.16 × 42,421.44
  4. Step 4: Simplify right side
    81,838.32x = 5,200,748,067.11
  5. Step 5: Solve for x
    x = 5,200,748,067.11/81,838.32
  6. Step 6: Final answer
    x = 63,549.06

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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.