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Finding the Fourth Proportional to 72,538.54, 100,077.52 and 47,402.62

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Solution

The fourth proportional to 72,538.54, 100,077.52 and 47,402.62 is: 65,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.54 : 100,077.52 = 47,402.62 : x
  2. Step 2: Convert to fraction form
    72,538.54/100,077.52 = 47,402.62/x
  3. Step 3: Cross multiply
    72,538.54x = 100,077.52 × 47,402.62
  4. Step 4: Simplify right side
    72,538.54x = 4,743,935,913.70
  5. Step 5: Solve for x
    x = 4,743,935,913.70/72,538.54
  6. Step 6: Final answer
    x = 65,398.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.