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Finding the Fourth Proportional to 48,486.42, 72,721.40 and 13,417.88

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Solution

The fourth proportional to 48,486.42, 72,721.40 and 13,417.88 is: 20,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486.42 : 72,721.40 = 13,417.88 : x
  2. Step 2: Convert to fraction form
    48,486.42/72,721.40 = 13,417.88/x
  3. Step 3: Cross multiply
    48,486.42x = 72,721.40 × 13,417.88
  4. Step 4: Simplify right side
    48,486.42x = 975,766,587.94
  5. Step 5: Solve for x
    x = 975,766,587.94/48,486.42
  6. Step 6: Final answer
    x = 20,124.53

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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.