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Finding the Fourth Proportional to 72,849.60, 109,300.64 and 28,508.16

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Solution

The fourth proportional to 72,849.60, 109,300.64 and 28,508.16 is: 42,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,849.60 : 109,300.64 = 28,508.16 : x
  2. Step 2: Convert to fraction form
    72,849.60/109,300.64 = 28,508.16/x
  3. Step 3: Cross multiply
    72,849.60x = 109,300.64 × 28,508.16
  4. Step 4: Simplify right side
    72,849.60x = 3,115,960,133.22
  5. Step 5: Solve for x
    x = 3,115,960,133.22/72,849.60
  6. Step 6: Final answer
    x = 42,772.51

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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.