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Finding the Fourth Proportional to 72,902.40, 109,373.76 and 28,541.76

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Solution

The fourth proportional to 72,902.40, 109,373.76 and 28,541.76 is: 42,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902.40 : 109,373.76 = 28,541.76 : x
  2. Step 2: Convert to fraction form
    72,902.40/109,373.76 = 28,541.76/x
  3. Step 3: Cross multiply
    72,902.40x = 109,373.76 × 28,541.76
  4. Step 4: Simplify right side
    72,902.40x = 3,121,719,608.22
  5. Step 5: Solve for x
    x = 3,121,719,608.22/72,902.40
  6. Step 6: Final answer
    x = 42,820.53

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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.