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Finding the Fourth Proportional to 72,751.64, 109,168.36 and 28,381.46

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Solution

The fourth proportional to 72,751.64, 109,168.36 and 28,381.46 is: 42,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,751.64 : 109,168.36 = 28,381.46 : x
  2. Step 2: Convert to fraction form
    72,751.64/109,168.36 = 28,381.46/x
  3. Step 3: Cross multiply
    72,751.64x = 109,168.36 × 28,381.46
  4. Step 4: Simplify right side
    72,751.64x = 3,098,356,825.81
  5. Step 5: Solve for x
    x = 3,098,356,825.81/72,751.64
  6. Step 6: Final answer
    x = 42,588.14

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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.