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Finding the Fourth Proportional to 78,509.88, 117,747.11 and 22,348.74

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Solution

The fourth proportional to 78,509.88, 117,747.11 and 22,348.74 is: 33,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.88 : 117,747.11 = 22,348.74 : x
  2. Step 2: Convert to fraction form
    78,509.88/117,747.11 = 22,348.74/x
  3. Step 3: Cross multiply
    78,509.88x = 117,747.11 × 22,348.74
  4. Step 4: Simplify right side
    78,509.88x = 2,631,499,603.01
  5. Step 5: Solve for x
    x = 2,631,499,603.01/78,509.88
  6. Step 6: Final answer
    x = 33,518.07

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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.