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Finding the Fourth Proportional to 86,957.40, 130,454.10 and 27,785.40

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Solution

The fourth proportional to 86,957.40, 130,454.10 and 27,785.40 is: 41,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,957.40 : 130,454.10 = 27,785.40 : x
  2. Step 2: Convert to fraction form
    86,957.40/130,454.10 = 27,785.40/x
  3. Step 3: Cross multiply
    86,957.40x = 130,454.10 × 27,785.40
  4. Step 4: Simplify right side
    86,957.40x = 3,624,719,350.14
  5. Step 5: Solve for x
    x = 3,624,719,350.14/86,957.40
  6. Step 6: Final answer
    x = 41,683.85

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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.