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Finding the Fourth Proportional to 50,390, 75,585.72 and 17,558

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Solution

The fourth proportional to 50,390, 75,585.72 and 17,558 is: 26,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,390 : 75,585.72 = 17,558 : x
  2. Step 2: Convert to fraction form
    50,390/75,585.72 = 17,558/x
  3. Step 3: Cross multiply
    50,390x = 75,585.72 × 17,558
  4. Step 4: Simplify right side
    50,390x = 1,327,134,071.76
  5. Step 5: Solve for x
    x = 1,327,134,071.76/50,390
  6. Step 6: Final answer
    x = 26,337.25

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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.