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Finding the Fourth Proportional to 138,570.90, 207,856.35 and 49,827.30

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Solution

The fourth proportional to 138,570.90, 207,856.35 and 49,827.30 is: 74,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,570.90 : 207,856.35 = 49,827.30 : x
  2. Step 2: Convert to fraction form
    138,570.90/207,856.35 = 49,827.30/x
  3. Step 3: Cross multiply
    138,570.90x = 207,856.35 × 49,827.30
  4. Step 4: Simplify right side
    138,570.90x = 10,356,920,708.36
  5. Step 5: Solve for x
    x = 10,356,920,708.36/138,570.90
  6. Step 6: Final answer
    x = 74,740.95

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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.