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Finding the Fourth Proportional to 258,142.68, 387,155.54 and 98,161.58

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Solution

The fourth proportional to 258,142.68, 387,155.54 and 98,161.58 is: 147,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,142.68 : 387,155.54 = 98,161.58 : x
  2. Step 2: Convert to fraction form
    258,142.68/387,155.54 = 98,161.58/x
  3. Step 3: Cross multiply
    258,142.68x = 387,155.54 × 98,161.58
  4. Step 4: Simplify right side
    258,142.68x = 38,003,797,085.57
  5. Step 5: Solve for x
    x = 38,003,797,085.57/258,142.68
  6. Step 6: Final answer
    x = 147,220.12

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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.