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Finding the Fourth Proportional to 145,381.92, 200,615.76 and 81,707.28

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Solution

The fourth proportional to 145,381.92, 200,615.76 and 81,707.28 is: 112,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,381.92 : 200,615.76 = 81,707.28 : x
  2. Step 2: Convert to fraction form
    145,381.92/200,615.76 = 81,707.28/x
  3. Step 3: Cross multiply
    145,381.92x = 200,615.76 × 81,707.28
  4. Step 4: Simplify right side
    145,381.92x = 16,391,768,074.73
  5. Step 5: Solve for x
    x = 16,391,768,074.73/145,381.92
  6. Step 6: Final answer
    x = 112,749.70

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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.