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Finding the Fourth Proportional to 151,041.88, 208,437.49 and 86,532

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Solution

The fourth proportional to 151,041.88, 208,437.49 and 86,532 is: 119,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,041.88 : 208,437.49 = 86,532 : x
  2. Step 2: Convert to fraction form
    151,041.88/208,437.49 = 86,532/x
  3. Step 3: Cross multiply
    151,041.88x = 208,437.49 × 86,532
  4. Step 4: Simplify right side
    151,041.88x = 18,036,512,884.68
  5. Step 5: Solve for x
    x = 18,036,512,884.68/151,041.88
  6. Step 6: Final answer
    x = 119,413.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.