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Finding the Fourth Proportional to 137,730.96, 206,528.16 and 48,971.12

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Solution

The fourth proportional to 137,730.96, 206,528.16 and 48,971.12 is: 73,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,730.96 : 206,528.16 = 48,971.12 : x
  2. Step 2: Convert to fraction form
    137,730.96/206,528.16 = 48,971.12/x
  3. Step 3: Cross multiply
    137,730.96x = 206,528.16 × 48,971.12
  4. Step 4: Simplify right side
    137,730.96x = 10,113,915,306.74
  5. Step 5: Solve for x
    x = 10,113,915,306.74/137,730.96
  6. Step 6: Final answer
    x = 73,432.40

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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.