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Finding the Fourth Proportional to 57,279, 85,925.52 and 17,829.84

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Solution

The fourth proportional to 57,279, 85,925.52 and 17,829.84 is: 26,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,279 : 85,925.52 = 17,829.84 : x
  2. Step 2: Convert to fraction form
    57,279/85,925.52 = 17,829.84/x
  3. Step 3: Cross multiply
    57,279x = 85,925.52 × 17,829.84
  4. Step 4: Simplify right side
    57,279x = 1,532,038,273.52
  5. Step 5: Solve for x
    x = 1,532,038,273.52/57,279
  6. Step 6: Final answer
    x = 26,746.95

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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.