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Finding the Fourth Proportional to 99,982.34, 149,807.42 and 70,337.88

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Solution

The fourth proportional to 99,982.34, 149,807.42 and 70,337.88 is: 105,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,982.34 : 149,807.42 = 70,337.88 : x
  2. Step 2: Convert to fraction form
    99,982.34/149,807.42 = 70,337.88/x
  3. Step 3: Cross multiply
    99,982.34x = 149,807.42 × 70,337.88
  4. Step 4: Simplify right side
    99,982.34x = 10,537,135,979.38
  5. Step 5: Solve for x
    x = 10,537,135,979.38/99,982.34
  6. Step 6: Final answer
    x = 105,389.98

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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.