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Finding the Fourth Proportional to 258,543.34, 387,816.74 and 90,066.86

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Solution

The fourth proportional to 258,543.34, 387,816.74 and 90,066.86 is: 135,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,543.34 : 387,816.74 = 90,066.86 : x
  2. Step 2: Convert to fraction form
    258,543.34/387,816.74 = 90,066.86/x
  3. Step 3: Cross multiply
    258,543.34x = 387,816.74 × 90,066.86
  4. Step 4: Simplify right side
    258,543.34x = 34,929,435,610.18
  5. Step 5: Solve for x
    x = 34,929,435,610.18/258,543.34
  6. Step 6: Final answer
    x = 135,100.89

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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.