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Finding the Fourth Proportional to 258,757.78, 357,085.65 and 144,033.93

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Solution

The fourth proportional to 258,757.78, 357,085.65 and 144,033.93 is: 198,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,757.78 : 357,085.65 = 144,033.93 : x
  2. Step 2: Convert to fraction form
    258,757.78/357,085.65 = 144,033.93/x
  3. Step 3: Cross multiply
    258,757.78x = 357,085.65 × 144,033.93
  4. Step 4: Simplify right side
    258,757.78x = 51,432,447,730.68
  5. Step 5: Solve for x
    x = 51,432,447,730.68/258,757.78
  6. Step 6: Final answer
    x = 198,766.77

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1.5x scale

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.