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Finding the Fourth Proportional to 81,449.60, 112,392.64 and 47,461.76

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Solution

The fourth proportional to 81,449.60, 112,392.64 and 47,461.76 is: 65,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,449.60 : 112,392.64 = 47,461.76 : x
  2. Step 2: Convert to fraction form
    81,449.60/112,392.64 = 47,461.76/x
  3. Step 3: Cross multiply
    81,449.60x = 112,392.64 × 47,461.76
  4. Step 4: Simplify right side
    81,449.60x = 5,334,352,505.45
  5. Step 5: Solve for x
    x = 5,334,352,505.45/81,449.60
  6. Step 6: Final answer
    x = 65,492.68

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1.5x scale

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.