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Finding the Fourth Proportional to 99,461.80, 149,192.70 and 97,821.55

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Solution

The fourth proportional to 99,461.80, 149,192.70 and 97,821.55 is: 146,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,461.80 : 149,192.70 = 97,821.55 : x
  2. Step 2: Convert to fraction form
    99,461.80/149,192.70 = 97,821.55/x
  3. Step 3: Cross multiply
    99,461.80x = 149,192.70 × 97,821.55
  4. Step 4: Simplify right side
    99,461.80x = 14,594,261,162.69
  5. Step 5: Solve for x
    x = 14,594,261,162.69/99,461.80
  6. Step 6: Final answer
    x = 146,732.33

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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.