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Finding the Fourth Proportional to 48,165.76, 72,142.80 and 39,750.40

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Solution

The fourth proportional to 48,165.76, 72,142.80 and 39,750.40 is: 59,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,165.76 : 72,142.80 = 39,750.40 : x
  2. Step 2: Convert to fraction form
    48,165.76/72,142.80 = 39,750.40/x
  3. Step 3: Cross multiply
    48,165.76x = 72,142.80 × 39,750.40
  4. Step 4: Simplify right side
    48,165.76x = 2,867,705,157.12
  5. Step 5: Solve for x
    x = 2,867,705,157.12/48,165.76
  6. Step 6: Final answer
    x = 59,538.25

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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.