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Finding the Fourth Proportional to 76,396, 105,426.48 and 42,861.28

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Solution

The fourth proportional to 76,396, 105,426.48 and 42,861.28 is: 59,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396 : 105,426.48 = 42,861.28 : x
  2. Step 2: Convert to fraction form
    76,396/105,426.48 = 42,861.28/x
  3. Step 3: Cross multiply
    76,396x = 105,426.48 × 42,861.28
  4. Step 4: Simplify right side
    76,396x = 4,518,713,878.69
  5. Step 5: Solve for x
    x = 4,518,713,878.69/76,396
  6. Step 6: Final answer
    x = 59,148.57

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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.