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Finding the Fourth Proportional to 258,610.17, 387,929.82 and 78,701.45

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Solution

The fourth proportional to 258,610.17, 387,929.82 and 78,701.45 is: 118,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,610.17 : 387,929.82 = 78,701.45 : x
  2. Step 2: Convert to fraction form
    258,610.17/387,929.82 = 78,701.45/x
  3. Step 3: Cross multiply
    258,610.17x = 387,929.82 × 78,701.45
  4. Step 4: Simplify right side
    258,610.17x = 30,530,637,392.59
  5. Step 5: Solve for x
    x = 30,530,637,392.59/258,610.17
  6. Step 6: Final answer
    x = 118,056.60

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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.