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Finding the Fourth Proportional to 147,765.71, 221,608.17 and 52,978.28

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Solution

The fourth proportional to 147,765.71, 221,608.17 and 52,978.28 is: 79,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,765.71 : 221,608.17 = 52,978.28 : x
  2. Step 2: Convert to fraction form
    147,765.71/221,608.17 = 52,978.28/x
  3. Step 3: Cross multiply
    147,765.71x = 221,608.17 × 52,978.28
  4. Step 4: Simplify right side
    147,765.71x = 11,740,418,572.51
  5. Step 5: Solve for x
    x = 11,740,418,572.51/147,765.71
  6. Step 6: Final answer
    x = 79,452.93

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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.