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Finding the Fourth Proportional to 147,005.64, 220,230.90 and 86,854.64

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Solution

The fourth proportional to 147,005.64, 220,230.90 and 86,854.64 is: 130,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,005.64 : 220,230.90 = 86,854.64 : x
  2. Step 2: Convert to fraction form
    147,005.64/220,230.90 = 86,854.64/x
  3. Step 3: Cross multiply
    147,005.64x = 220,230.90 × 86,854.64
  4. Step 4: Simplify right side
    147,005.64x = 19,128,074,435.22
  5. Step 5: Solve for x
    x = 19,128,074,435.22/147,005.64
  6. Step 6: Final answer
    x = 130,117.96

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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.