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Finding the Fourth Proportional to 137,468.56, 206,210.60 and 42,712.20

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Solution

The fourth proportional to 137,468.56, 206,210.60 and 42,712.20 is: 64,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,468.56 : 206,210.60 = 42,712.20 : x
  2. Step 2: Convert to fraction form
    137,468.56/206,210.60 = 42,712.20/x
  3. Step 3: Cross multiply
    137,468.56x = 206,210.60 × 42,712.20
  4. Step 4: Simplify right side
    137,468.56x = 8,807,708,389.32
  5. Step 5: Solve for x
    x = 8,807,708,389.32/137,468.56
  6. Step 6: Final answer
    x = 64,070.71

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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.