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Finding the Fourth Proportional to 77,109.52, 115,726.02 and 74,649.20

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Solution

The fourth proportional to 77,109.52, 115,726.02 and 74,649.20 is: 112,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,109.52 : 115,726.02 = 74,649.20 : x
  2. Step 2: Convert to fraction form
    77,109.52/115,726.02 = 74,649.20/x
  3. Step 3: Cross multiply
    77,109.52x = 115,726.02 × 74,649.20
  4. Step 4: Simplify right side
    77,109.52x = 8,638,854,812.18
  5. Step 5: Solve for x
    x = 8,638,854,812.18/77,109.52
  6. Step 6: Final answer
    x = 112,033.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.