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Finding the Fourth Proportional to 99,527.10, 149,089.05 and 61,971.90

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Solution

The fourth proportional to 99,527.10, 149,089.05 and 61,971.90 is: 92,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,527.10 : 149,089.05 = 61,971.90 : x
  2. Step 2: Convert to fraction form
    99,527.10/149,089.05 = 61,971.90/x
  3. Step 3: Cross multiply
    99,527.10x = 149,089.05 × 61,971.90
  4. Step 4: Simplify right side
    99,527.10x = 9,239,331,697.70
  5. Step 5: Solve for x
    x = 9,239,331,697.70/99,527.10
  6. Step 6: Final answer
    x = 92,832.32

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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.