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Finding the Fourth Proportional to 66,956.88, 100,320.12 and 47,200.08

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Solution

The fourth proportional to 66,956.88, 100,320.12 and 47,200.08 is: 70,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,956.88 : 100,320.12 = 47,200.08 : x
  2. Step 2: Convert to fraction form
    66,956.88/100,320.12 = 47,200.08/x
  3. Step 3: Cross multiply
    66,956.88x = 100,320.12 × 47,200.08
  4. Step 4: Simplify right side
    66,956.88x = 4,735,117,689.61
  5. Step 5: Solve for x
    x = 4,735,117,689.61/66,956.88
  6. Step 6: Final answer
    x = 70,718.91

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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.