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Finding the Fourth Proportional to 97,011.80, 145,523.84 and 30,454.56

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Solution

The fourth proportional to 97,011.80, 145,523.84 and 30,454.56 is: 45,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,011.80 : 145,523.84 = 30,454.56 : x
  2. Step 2: Convert to fraction form
    97,011.80/145,523.84 = 30,454.56/x
  3. Step 3: Cross multiply
    97,011.80x = 145,523.84 × 30,454.56
  4. Step 4: Simplify right side
    97,011.80x = 4,431,864,516.71
  5. Step 5: Solve for x
    x = 4,431,864,516.71/97,011.80
  6. Step 6: Final answer
    x = 45,683.77

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1.5x scale

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.