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Finding the Fourth Proportional to 51,856.75, 77,785.13 and 14,920.75

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Solution

The fourth proportional to 51,856.75, 77,785.13 and 14,920.75 is: 22,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.75 : 77,785.13 = 14,920.75 : x
  2. Step 2: Convert to fraction form
    51,856.75/77,785.13 = 14,920.75/x
  3. Step 3: Cross multiply
    51,856.75x = 77,785.13 × 14,920.75
  4. Step 4: Simplify right side
    51,856.75x = 1,160,612,478.45
  5. Step 5: Solve for x
    x = 1,160,612,478.45/51,856.75
  6. Step 6: Final answer
    x = 22,381.13

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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.