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Finding the Fourth Proportional to 72,657.60, 109,002.60 and 28,280.40

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Solution

The fourth proportional to 72,657.60, 109,002.60 and 28,280.40 is: 42,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657.60 : 109,002.60 = 28,280.40 : x
  2. Step 2: Convert to fraction form
    72,657.60/109,002.60 = 28,280.40/x
  3. Step 3: Cross multiply
    72,657.60x = 109,002.60 × 28,280.40
  4. Step 4: Simplify right side
    72,657.60x = 3,082,637,129.04
  5. Step 5: Solve for x
    x = 3,082,637,129.04/72,657.60
  6. Step 6: Final answer
    x = 42,426.91

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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.