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Finding the Fourth Proportional to 78,237.78, 117,356.31 and 22,077.78

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Solution

The fourth proportional to 78,237.78, 117,356.31 and 22,077.78 is: 33,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,237.78 : 117,356.31 = 22,077.78 : x
  2. Step 2: Convert to fraction form
    78,237.78/117,356.31 = 22,077.78/x
  3. Step 3: Cross multiply
    78,237.78x = 117,356.31 × 22,077.78
  4. Step 4: Simplify right side
    78,237.78x = 2,590,966,793.79
  5. Step 5: Solve for x
    x = 2,590,966,793.79/78,237.78
  6. Step 6: Final answer
    x = 33,116.57

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1.5x scale

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.