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Finding the Fourth Proportional to 147,069.60, 220,474.80 and 87,842.40

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Solution

The fourth proportional to 147,069.60, 220,474.80 and 87,842.40 is: 131,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,069.60 : 220,474.80 = 87,842.40 : x
  2. Step 2: Convert to fraction form
    147,069.60/220,474.80 = 87,842.40/x
  3. Step 3: Cross multiply
    147,069.60x = 220,474.80 × 87,842.40
  4. Step 4: Simplify right side
    147,069.60x = 19,367,035,571.52
  5. Step 5: Solve for x
    x = 19,367,035,571.52/147,069.60
  6. Step 6: Final answer
    x = 131,686.19

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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.