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Finding the Fourth Proportional to 147,761.80, 221,496.90 and 72,820.60

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Solution

The fourth proportional to 147,761.80, 221,496.90 and 72,820.60 is: 109,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,761.80 : 221,496.90 = 72,820.60 : x
  2. Step 2: Convert to fraction form
    147,761.80/221,496.90 = 72,820.60/x
  3. Step 3: Cross multiply
    147,761.80x = 221,496.90 × 72,820.60
  4. Step 4: Simplify right side
    147,761.80x = 16,129,537,156.14
  5. Step 5: Solve for x
    x = 16,129,537,156.14/147,761.80
  6. Step 6: Final answer
    x = 109,159.05

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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.