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Finding the Fourth Proportional to 83,956.60, 115,830.80 and 47,653.72

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Solution

The fourth proportional to 83,956.60, 115,830.80 and 47,653.72 is: 65,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,956.60 : 115,830.80 = 47,653.72 : x
  2. Step 2: Convert to fraction form
    83,956.60/115,830.80 = 47,653.72/x
  3. Step 3: Cross multiply
    83,956.60x = 115,830.80 × 47,653.72
  4. Step 4: Simplify right side
    83,956.60x = 5,519,768,510.58
  5. Step 5: Solve for x
    x = 5,519,768,510.58/83,956.60
  6. Step 6: Final answer
    x = 65,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.