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Finding the Fourth Proportional to 70,780.80, 97,659.84 and 45,600

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Solution

The fourth proportional to 70,780.80, 97,659.84 and 45,600 is: 62,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780.80 : 97,659.84 = 45,600 : x
  2. Step 2: Convert to fraction form
    70,780.80/97,659.84 = 45,600/x
  3. Step 3: Cross multiply
    70,780.80x = 97,659.84 × 45,600
  4. Step 4: Simplify right side
    70,780.80x = 4,453,288,704
  5. Step 5: Solve for x
    x = 4,453,288,704/70,780.80
  6. Step 6: Final answer
    x = 62,916.62

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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.