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Finding the Fourth Proportional to 76,119.68, 105,048 and 42,585.92

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Solution

The fourth proportional to 76,119.68, 105,048 and 42,585.92 is: 58,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,119.68 : 105,048 = 42,585.92 : x
  2. Step 2: Convert to fraction form
    76,119.68/105,048 = 42,585.92/x
  3. Step 3: Cross multiply
    76,119.68x = 105,048 × 42,585.92
  4. Step 4: Simplify right side
    76,119.68x = 4,473,565,724.16
  5. Step 5: Solve for x
    x = 4,473,565,724.16/76,119.68
  6. Step 6: Final answer
    x = 58,770.16

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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.