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Finding the Fourth Proportional to 86,490.32, 119,360 and 48,763.76

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Solution

The fourth proportional to 86,490.32, 119,360 and 48,763.76 is: 67,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490.32 : 119,360 = 48,763.76 : x
  2. Step 2: Convert to fraction form
    86,490.32/119,360 = 48,763.76/x
  3. Step 3: Cross multiply
    86,490.32x = 119,360 × 48,763.76
  4. Step 4: Simplify right side
    86,490.32x = 5,820,442,393.60
  5. Step 5: Solve for x
    x = 5,820,442,393.60/86,490.32
  6. Step 6: Final answer
    x = 67,295.88

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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.