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Finding the Fourth Proportional to 255,726.97, 383,701.07 and 137,259.91

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Solution

The fourth proportional to 255,726.97, 383,701.07 and 137,259.91 is: 205,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,726.97 : 383,701.07 = 137,259.91 : x
  2. Step 2: Convert to fraction form
    255,726.97/383,701.07 = 137,259.91/x
  3. Step 3: Cross multiply
    255,726.97x = 383,701.07 × 137,259.91
  4. Step 4: Simplify right side
    255,726.97x = 52,666,774,385.79
  5. Step 5: Solve for x
    x = 52,666,774,385.79/255,726.97
  6. Step 6: Final answer
    x = 205,949.24

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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.