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Finding the Fourth Proportional to 258,722.24, 387,927.77 and 98,808.80

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Solution

The fourth proportional to 258,722.24, 387,927.77 and 98,808.80 is: 148,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,722.24 : 387,927.77 = 98,808.80 : x
  2. Step 2: Convert to fraction form
    258,722.24/387,927.77 = 98,808.80/x
  3. Step 3: Cross multiply
    258,722.24x = 387,927.77 × 98,808.80
  4. Step 4: Simplify right side
    258,722.24x = 38,330,675,006.69
  5. Step 5: Solve for x
    x = 38,330,675,006.69/258,722.24
  6. Step 6: Final answer
    x = 148,153.77

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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.