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Finding the Fourth Proportional to 115,442, 159,312.42 and 63,758.84

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Solution

The fourth proportional to 115,442, 159,312.42 and 63,758.84 is: 87,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,442 : 159,312.42 = 63,758.84 : x
  2. Step 2: Convert to fraction form
    115,442/159,312.42 = 63,758.84/x
  3. Step 3: Cross multiply
    115,442x = 159,312.42 × 63,758.84
  4. Step 4: Simplify right side
    115,442x = 10,157,575,096.79
  5. Step 5: Solve for x
    x = 10,157,575,096.79/115,442
  6. Step 6: Final answer
    x = 87,988.56

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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.