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Finding the Fourth Proportional to 98,304.86, 147,432.98 and 42,138.60

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Solution

The fourth proportional to 98,304.86, 147,432.98 and 42,138.60 is: 63,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,304.86 : 147,432.98 = 42,138.60 : x
  2. Step 2: Convert to fraction form
    98,304.86/147,432.98 = 42,138.60/x
  3. Step 3: Cross multiply
    98,304.86x = 147,432.98 × 42,138.60
  4. Step 4: Simplify right side
    98,304.86x = 6,212,619,160.34
  5. Step 5: Solve for x
    x = 6,212,619,160.34/98,304.86
  6. Step 6: Final answer
    x = 63,197.48

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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.