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Finding the Fourth Proportional to 76,841.50, 106,037.18 and 42,853.48

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Solution

The fourth proportional to 76,841.50, 106,037.18 and 42,853.48 is: 59,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.50 : 106,037.18 = 42,853.48 : x
  2. Step 2: Convert to fraction form
    76,841.50/106,037.18 = 42,853.48/x
  3. Step 3: Cross multiply
    76,841.50x = 106,037.18 × 42,853.48
  4. Step 4: Simplify right side
    76,841.50x = 4,544,062,172.39
  5. Step 5: Solve for x
    x = 4,544,062,172.39/76,841.50
  6. Step 6: Final answer
    x = 59,135.52

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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.