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Finding the Fourth Proportional to 258,217, 387,325.50 and 83,113

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Solution

The fourth proportional to 258,217, 387,325.50 and 83,113 is: 124,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,217 : 387,325.50 = 83,113 : x
  2. Step 2: Convert to fraction form
    258,217/387,325.50 = 83,113/x
  3. Step 3: Cross multiply
    258,217x = 387,325.50 × 83,113
  4. Step 4: Simplify right side
    258,217x = 32,191,784,281.50
  5. Step 5: Solve for x
    x = 32,191,784,281.50/258,217
  6. Step 6: Final answer
    x = 124,669.50

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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.