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Finding the Fourth Proportional to 160,484.70, 240,617.70 and 76,285.20

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Solution

The fourth proportional to 160,484.70, 240,617.70 and 76,285.20 is: 114,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,484.70 : 240,617.70 = 76,285.20 : x
  2. Step 2: Convert to fraction form
    160,484.70/240,617.70 = 76,285.20/x
  3. Step 3: Cross multiply
    160,484.70x = 240,617.70 × 76,285.20
  4. Step 4: Simplify right side
    160,484.70x = 18,355,569,368.04
  5. Step 5: Solve for x
    x = 18,355,569,368.04/160,484.70
  6. Step 6: Final answer
    x = 114,375.82

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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.