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Finding the Fourth Proportional to 255,388.92, 382,952.16 and 137,159.70

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Solution

The fourth proportional to 255,388.92, 382,952.16 and 137,159.70 is: 205,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,388.92 : 382,952.16 = 137,159.70 : x
  2. Step 2: Convert to fraction form
    255,388.92/382,952.16 = 137,159.70/x
  3. Step 3: Cross multiply
    255,388.92x = 382,952.16 × 137,159.70
  4. Step 4: Simplify right side
    255,388.92x = 52,525,603,379.95
  5. Step 5: Solve for x
    x = 52,525,603,379.95/255,388.92
  6. Step 6: Final answer
    x = 205,669.08

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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.