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Finding the Fourth Proportional to 253,201.90, 379,543.65 and 147,966.70

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Solution

The fourth proportional to 253,201.90, 379,543.65 and 147,966.70 is: 221,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,201.90 : 379,543.65 = 147,966.70 : x
  2. Step 2: Convert to fraction form
    253,201.90/379,543.65 = 147,966.70/x
  3. Step 3: Cross multiply
    253,201.90x = 379,543.65 × 147,966.70
  4. Step 4: Simplify right side
    253,201.90x = 56,159,821,396.46
  5. Step 5: Solve for x
    x = 56,159,821,396.46/253,201.90
  6. Step 6: Final answer
    x = 221,798.58

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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.