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Finding the Fourth Proportional to 99,022.88, 148,573.20 and 43,580

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Solution

The fourth proportional to 99,022.88, 148,573.20 and 43,580 is: 65,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,022.88 : 148,573.20 = 43,580 : x
  2. Step 2: Convert to fraction form
    99,022.88/148,573.20 = 43,580/x
  3. Step 3: Cross multiply
    99,022.88x = 148,573.20 × 43,580
  4. Step 4: Simplify right side
    99,022.88x = 6,474,820,056.00
  5. Step 5: Solve for x
    x = 6,474,820,056.00/99,022.88
  6. Step 6: Final answer
    x = 65,387.11

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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.