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Finding the Fourth Proportional to 76,574, 105,672.12 and 43,040

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Solution

The fourth proportional to 76,574, 105,672.12 and 43,040 is: 59,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574 : 105,672.12 = 43,040 : x
  2. Step 2: Convert to fraction form
    76,574/105,672.12 = 43,040/x
  3. Step 3: Cross multiply
    76,574x = 105,672.12 × 43,040
  4. Step 4: Simplify right side
    76,574x = 4,548,128,044.80
  5. Step 5: Solve for x
    x = 4,548,128,044.80/76,574
  6. Step 6: Final answer
    x = 59,395.20

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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.