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Finding the Fourth Proportional to 161,765.70, 242,427.03 and 102,642.90

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Solution

The fourth proportional to 161,765.70, 242,427.03 and 102,642.90 is: 153,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,765.70 : 242,427.03 = 102,642.90 : x
  2. Step 2: Convert to fraction form
    161,765.70/242,427.03 = 102,642.90/x
  3. Step 3: Cross multiply
    161,765.70x = 242,427.03 × 102,642.90
  4. Step 4: Simplify right side
    161,765.70x = 24,883,413,397.59
  5. Step 5: Solve for x
    x = 24,883,413,397.59/161,765.70
  6. Step 6: Final answer
    x = 153,823.79

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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.