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Finding the Fourth Proportional to 76,393.92, 105,423.66 and 42,402.42

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Solution

The fourth proportional to 76,393.92, 105,423.66 and 42,402.42 is: 58,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,393.92 : 105,423.66 = 42,402.42 : x
  2. Step 2: Convert to fraction form
    76,393.92/105,423.66 = 42,402.42/x
  3. Step 3: Cross multiply
    76,393.92x = 105,423.66 × 42,402.42
  4. Step 4: Simplify right side
    76,393.92x = 4,470,218,309.26
  5. Step 5: Solve for x
    x = 4,470,218,309.26/76,393.92
  6. Step 6: Final answer
    x = 58,515.37

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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.