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Finding the Fourth Proportional to 147,214.78, 220,825.80 and 53,720.50

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Solution

The fourth proportional to 147,214.78, 220,825.80 and 53,720.50 is: 80,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,214.78 : 220,825.80 = 53,720.50 : x
  2. Step 2: Convert to fraction form
    147,214.78/220,825.80 = 53,720.50/x
  3. Step 3: Cross multiply
    147,214.78x = 220,825.80 × 53,720.50
  4. Step 4: Simplify right side
    147,214.78x = 11,862,872,388.90
  5. Step 5: Solve for x
    x = 11,862,872,388.90/147,214.78
  6. Step 6: Final answer
    x = 80,582.07

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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.