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Finding the Fourth Proportional to 260,982, 360,155.52 and 141,750

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Solution

The fourth proportional to 260,982, 360,155.52 and 141,750 is: 195,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,982 : 360,155.52 = 141,750 : x
  2. Step 2: Convert to fraction form
    260,982/360,155.52 = 141,750/x
  3. Step 3: Cross multiply
    260,982x = 360,155.52 × 141,750
  4. Step 4: Simplify right side
    260,982x = 51,052,044,960
  5. Step 5: Solve for x
    x = 51,052,044,960/260,982
  6. Step 6: Final answer
    x = 195,615.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.