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Finding the Fourth Proportional to 147,224.28, 220,840.05 and 53,730

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Solution

The fourth proportional to 147,224.28, 220,840.05 and 53,730 is: 80,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224.28 : 220,840.05 = 53,730 : x
  2. Step 2: Convert to fraction form
    147,224.28/220,840.05 = 53,730/x
  3. Step 3: Cross multiply
    147,224.28x = 220,840.05 × 53,730
  4. Step 4: Simplify right side
    147,224.28x = 11,865,735,886.50
  5. Step 5: Solve for x
    x = 11,865,735,886.50/147,224.28
  6. Step 6: Final answer
    x = 80,596.32

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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.