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Finding the Fourth Proportional to 161,772.70, 242,437.53 and 102,649.90

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Solution

The fourth proportional to 161,772.70, 242,437.53 and 102,649.90 is: 153,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,772.70 : 242,437.53 = 102,649.90 : x
  2. Step 2: Convert to fraction form
    161,772.70/242,437.53 = 102,649.90/x
  3. Step 3: Cross multiply
    161,772.70x = 242,437.53 × 102,649.90
  4. Step 4: Simplify right side
    161,772.70x = 24,886,188,210.75
  5. Step 5: Solve for x
    x = 24,886,188,210.75/161,772.70
  6. Step 6: Final answer
    x = 153,834.29

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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.