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Finding the Fourth Proportional to 215,254.62, 322,931.07 and 65,516.13

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Solution

The fourth proportional to 215,254.62, 322,931.07 and 65,516.13 is: 98,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254.62 : 322,931.07 = 65,516.13 : x
  2. Step 2: Convert to fraction form
    215,254.62/322,931.07 = 65,516.13/x
  3. Step 3: Cross multiply
    215,254.62x = 322,931.07 × 65,516.13
  4. Step 4: Simplify right side
    215,254.62x = 21,157,193,963.16
  5. Step 5: Solve for x
    x = 21,157,193,963.16/215,254.62
  6. Step 6: Final answer
    x = 98,289.15

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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.