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Finding the Fourth Proportional to 137,980.92, 206,970.84 and 38,140.92

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Solution

The fourth proportional to 137,980.92, 206,970.84 and 38,140.92 is: 57,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980.92 : 206,970.84 = 38,140.92 : x
  2. Step 2: Convert to fraction form
    137,980.92/206,970.84 = 38,140.92/x
  3. Step 3: Cross multiply
    137,980.92x = 206,970.84 × 38,140.92
  4. Step 4: Simplify right side
    137,980.92x = 7,894,058,250.77
  5. Step 5: Solve for x
    x = 7,894,058,250.77/137,980.92
  6. Step 6: Final answer
    x = 57,211.23

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1.5x scale

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.