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Finding the Fourth Proportional to 99,245.80, 148,868.70 and 65,420.20

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Solution

The fourth proportional to 99,245.80, 148,868.70 and 65,420.20 is: 98,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,245.80 : 148,868.70 = 65,420.20 : x
  2. Step 2: Convert to fraction form
    99,245.80/148,868.70 = 65,420.20/x
  3. Step 3: Cross multiply
    99,245.80x = 148,868.70 × 65,420.20
  4. Step 4: Simplify right side
    99,245.80x = 9,739,020,127.74
  5. Step 5: Solve for x
    x = 9,739,020,127.74/99,245.80
  6. Step 6: Final answer
    x = 98,130.30

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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.