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Finding the Fourth Proportional to 70,138.29, 105,680.86 and 57,931.80

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Solution

The fourth proportional to 70,138.29, 105,680.86 and 57,931.80 is: 87,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.29 : 105,680.86 = 57,931.80 : x
  2. Step 2: Convert to fraction form
    70,138.29/105,680.86 = 57,931.80/x
  3. Step 3: Cross multiply
    70,138.29x = 105,680.86 × 57,931.80
  4. Step 4: Simplify right side
    70,138.29x = 6,122,282,445.35
  5. Step 5: Solve for x
    x = 6,122,282,445.35/70,138.29
  6. Step 6: Final answer
    x = 87,288.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.