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Finding the Fourth Proportional to 147,022.76, 220,256.66 and 86,871.76

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Solution

The fourth proportional to 147,022.76, 220,256.66 and 86,871.76 is: 130,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,022.76 : 220,256.66 = 86,871.76 : x
  2. Step 2: Convert to fraction form
    147,022.76/220,256.66 = 86,871.76/x
  3. Step 3: Cross multiply
    147,022.76x = 220,256.66 × 86,871.76
  4. Step 4: Simplify right side
    147,022.76x = 19,134,083,705.92
  5. Step 5: Solve for x
    x = 19,134,083,705.92/147,022.76
  6. Step 6: Final answer
    x = 130,143.68

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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.