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Finding the Fourth Proportional to 48,470.70, 72,707.76 and 13,413

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Solution

The fourth proportional to 48,470.70, 72,707.76 and 13,413 is: 20,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470.70 : 72,707.76 = 13,413 : x
  2. Step 2: Convert to fraction form
    48,470.70/72,707.76 = 13,413/x
  3. Step 3: Cross multiply
    48,470.70x = 72,707.76 × 13,413
  4. Step 4: Simplify right side
    48,470.70x = 975,229,184.88
  5. Step 5: Solve for x
    x = 975,229,184.88/48,470.70
  6. Step 6: Final answer
    x = 20,119.97

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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.