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Finding the Fourth Proportional to 101,958.68, 152,970.54 and 42,778.46

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Solution

The fourth proportional to 101,958.68, 152,970.54 and 42,778.46 is: 64,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.68 : 152,970.54 = 42,778.46 : x
  2. Step 2: Convert to fraction form
    101,958.68/152,970.54 = 42,778.46/x
  3. Step 3: Cross multiply
    101,958.68x = 152,970.54 × 42,778.46
  4. Step 4: Simplify right side
    101,958.68x = 6,543,844,126.57
  5. Step 5: Solve for x
    x = 6,543,844,126.57/101,958.68
  6. Step 6: Final answer
    x = 64,181.33

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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.