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Finding the Fourth Proportional to 137,572.98, 206,373.60 and 47,615.51

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Solution

The fourth proportional to 137,572.98, 206,373.60 and 47,615.51 is: 71,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572.98 : 206,373.60 = 47,615.51 : x
  2. Step 2: Convert to fraction form
    137,572.98/206,373.60 = 47,615.51/x
  3. Step 3: Cross multiply
    137,572.98x = 206,373.60 × 47,615.51
  4. Step 4: Simplify right side
    137,572.98x = 9,826,584,214.54
  5. Step 5: Solve for x
    x = 9,826,584,214.54/137,572.98
  6. Step 6: Final answer
    x = 71,428.16

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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.