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Finding the Fourth Proportional to 137,356.78, 206,033 and 57,437.60

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Solution

The fourth proportional to 137,356.78, 206,033 and 57,437.60 is: 86,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,356.78 : 206,033 = 57,437.60 : x
  2. Step 2: Convert to fraction form
    137,356.78/206,033 = 57,437.60/x
  3. Step 3: Cross multiply
    137,356.78x = 206,033 × 57,437.60
  4. Step 4: Simplify right side
    137,356.78x = 11,834,041,040.80
  5. Step 5: Solve for x
    x = 11,834,041,040.80/137,356.78
  6. Step 6: Final answer
    x = 86,155.49

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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.