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Finding the Fourth Proportional to 56,951.96, 85,430.19 and 21,409.70

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Solution

The fourth proportional to 56,951.96, 85,430.19 and 21,409.70 is: 32,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,951.96 : 85,430.19 = 21,409.70 : x
  2. Step 2: Convert to fraction form
    56,951.96/85,430.19 = 21,409.70/x
  3. Step 3: Cross multiply
    56,951.96x = 85,430.19 × 21,409.70
  4. Step 4: Simplify right side
    56,951.96x = 1,829,034,738.84
  5. Step 5: Solve for x
    x = 1,829,034,738.84/56,951.96
  6. Step 6: Final answer
    x = 32,115.40

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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.