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Finding the Fourth Proportional to 254,005.71, 381,027.72 and 85,526.52

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Solution

The fourth proportional to 254,005.71, 381,027.72 and 85,526.52 is: 128,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,005.71 : 381,027.72 = 85,526.52 : x
  2. Step 2: Convert to fraction form
    254,005.71/381,027.72 = 85,526.52/x
  3. Step 3: Cross multiply
    254,005.71x = 381,027.72 × 85,526.52
  4. Step 4: Simplify right side
    254,005.71x = 32,587,974,915.13
  5. Step 5: Solve for x
    x = 32,587,974,915.13/254,005.71
  6. Step 6: Final answer
    x = 128,296.23

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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.