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Finding the Fourth Proportional to 78,509.84, 117,747.07 and 22,348.71

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Solution

The fourth proportional to 78,509.84, 117,747.07 and 22,348.71 is: 33,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.84 : 117,747.07 = 22,348.71 : x
  2. Step 2: Convert to fraction form
    78,509.84/117,747.07 = 22,348.71/x
  3. Step 3: Cross multiply
    78,509.84x = 117,747.07 × 22,348.71
  4. Step 4: Simplify right side
    78,509.84x = 2,631,495,120.78
  5. Step 5: Solve for x
    x = 2,631,495,120.78/78,509.84
  6. Step 6: Final answer
    x = 33,518.03

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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.