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Finding the Fourth Proportional to 115,496.64, 159,384.16 and 65,197.76

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Solution

The fourth proportional to 115,496.64, 159,384.16 and 65,197.76 is: 89,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,496.64 : 159,384.16 = 65,197.76 : x
  2. Step 2: Convert to fraction form
    115,496.64/159,384.16 = 65,197.76/x
  3. Step 3: Cross multiply
    115,496.64x = 159,384.16 × 65,197.76
  4. Step 4: Simplify right side
    115,496.64x = 10,391,490,211.48
  5. Step 5: Solve for x
    x = 10,391,490,211.48/115,496.64
  6. Step 6: Final answer
    x = 89,972.23

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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.