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Finding the Fourth Proportional to 286,061.64, 394,765.14 and 158,757.72

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Solution

The fourth proportional to 286,061.64, 394,765.14 and 158,757.72 is: 219,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,061.64 : 394,765.14 = 158,757.72 : x
  2. Step 2: Convert to fraction form
    286,061.64/394,765.14 = 158,757.72/x
  3. Step 3: Cross multiply
    286,061.64x = 394,765.14 × 158,757.72
  4. Step 4: Simplify right side
    286,061.64x = 62,672,013,561.88
  5. Step 5: Solve for x
    x = 62,672,013,561.88/286,061.64
  6. Step 6: Final answer
    x = 219,085.70

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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.