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Finding the Fourth Proportional to 99,000, 148,128 and 69,475.44

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Solution

The fourth proportional to 99,000, 148,128 and 69,475.44 is: 103,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,000 : 148,128 = 69,475.44 : x
  2. Step 2: Convert to fraction form
    99,000/148,128 = 69,475.44/x
  3. Step 3: Cross multiply
    99,000x = 148,128 × 69,475.44
  4. Step 4: Simplify right side
    99,000x = 10,291,257,976.32
  5. Step 5: Solve for x
    x = 10,291,257,976.32/99,000
  6. Step 6: Final answer
    x = 103,952.10

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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.