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Finding the Fourth Proportional to 85,678.56, 128,493.18 and 29,516.40

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Solution

The fourth proportional to 85,678.56, 128,493.18 and 29,516.40 is: 44,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,678.56 : 128,493.18 = 29,516.40 : x
  2. Step 2: Convert to fraction form
    85,678.56/128,493.18 = 29,516.40/x
  3. Step 3: Cross multiply
    85,678.56x = 128,493.18 × 29,516.40
  4. Step 4: Simplify right side
    85,678.56x = 3,792,656,098.15
  5. Step 5: Solve for x
    x = 3,792,656,098.15/85,678.56
  6. Step 6: Final answer
    x = 44,266.10

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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.