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Finding the Fourth Proportional to 152,029.80, 209,857.50 and 91,603.80

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Solution

The fourth proportional to 152,029.80, 209,857.50 and 91,603.80 is: 126,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029.80 : 209,857.50 = 91,603.80 : x
  2. Step 2: Convert to fraction form
    152,029.80/209,857.50 = 91,603.80/x
  3. Step 3: Cross multiply
    152,029.80x = 209,857.50 × 91,603.80
  4. Step 4: Simplify right side
    152,029.80x = 19,223,744,458.50
  5. Step 5: Solve for x
    x = 19,223,744,458.50/152,029.80
  6. Step 6: Final answer
    x = 126,447.21

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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.