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Finding the Fourth Proportional to 76,294.59, 105,284.25 and 42,760.59

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Solution

The fourth proportional to 76,294.59, 105,284.25 and 42,760.59 is: 59,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,294.59 : 105,284.25 = 42,760.59 : x
  2. Step 2: Convert to fraction form
    76,294.59/105,284.25 = 42,760.59/x
  3. Step 3: Cross multiply
    76,294.59x = 105,284.25 × 42,760.59
  4. Step 4: Simplify right side
    76,294.59x = 4,502,016,647.71
  5. Step 5: Solve for x
    x = 4,502,016,647.71/76,294.59
  6. Step 6: Final answer
    x = 59,008.33

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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.