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Finding the Fourth Proportional to 76,434.48, 105,473.80 and 42,894

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Solution

The fourth proportional to 76,434.48, 105,473.80 and 42,894 is: 59,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434.48 : 105,473.80 = 42,894 : x
  2. Step 2: Convert to fraction form
    76,434.48/105,473.80 = 42,894/x
  3. Step 3: Cross multiply
    76,434.48x = 105,473.80 × 42,894
  4. Step 4: Simplify right side
    76,434.48x = 4,524,193,177.20
  5. Step 5: Solve for x
    x = 4,524,193,177.20/76,434.48
  6. Step 6: Final answer
    x = 59,190.47

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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.