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Finding the Fourth Proportional to 109,102.60, 163,532.40 and 42,520.60

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Solution

The fourth proportional to 109,102.60, 163,532.40 and 42,520.60 is: 63,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,102.60 : 163,532.40 = 42,520.60 : x
  2. Step 2: Convert to fraction form
    109,102.60/163,532.40 = 42,520.60/x
  3. Step 3: Cross multiply
    109,102.60x = 163,532.40 × 42,520.60
  4. Step 4: Simplify right side
    109,102.60x = 6,953,495,767.44
  5. Step 5: Solve for x
    x = 6,953,495,767.44/109,102.60
  6. Step 6: Final answer
    x = 63,733.55

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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.