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Finding the Fourth Proportional to 70,990.20, 97,978.14 and 42,711.48

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Solution

The fourth proportional to 70,990.20, 97,978.14 and 42,711.48 is: 58,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,990.20 : 97,978.14 = 42,711.48 : x
  2. Step 2: Convert to fraction form
    70,990.20/97,978.14 = 42,711.48/x
  3. Step 3: Cross multiply
    70,990.20x = 97,978.14 × 42,711.48
  4. Step 4: Simplify right side
    70,990.20x = 4,184,791,367.05
  5. Step 5: Solve for x
    x = 4,184,791,367.05/70,990.20
  6. Step 6: Final answer
    x = 58,948.86

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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.