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Finding the Fourth Proportional to 258,802.30, 357,155.18 and 140,937.11

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Solution

The fourth proportional to 258,802.30, 357,155.18 and 140,937.11 is: 194,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,802.30 : 357,155.18 = 140,937.11 : x
  2. Step 2: Convert to fraction form
    258,802.30/357,155.18 = 140,937.11/x
  3. Step 3: Cross multiply
    258,802.30x = 357,155.18 × 140,937.11
  4. Step 4: Simplify right side
    258,802.30x = 50,336,418,890.73
  5. Step 5: Solve for x
    x = 50,336,418,890.73/258,802.30
  6. Step 6: Final answer
    x = 194,497.57

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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.