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Finding the Fourth Proportional to 258,521.61, 356,781.37 and 143,821.86

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Solution

The fourth proportional to 258,521.61, 356,781.37 and 143,821.86 is: 198,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,521.61 : 356,781.37 = 143,821.86 : x
  2. Step 2: Convert to fraction form
    258,521.61/356,781.37 = 143,821.86/x
  3. Step 3: Cross multiply
    258,521.61x = 356,781.37 × 143,821.86
  4. Step 4: Simplify right side
    258,521.61x = 51,312,962,034.12
  5. Step 5: Solve for x
    x = 51,312,962,034.12/258,521.61
  6. Step 6: Final answer
    x = 198,486.16

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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.