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Finding the Fourth Proportional to 102,117.80, 152,874.30 and 75,938.60

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Solution

The fourth proportional to 102,117.80, 152,874.30 and 75,938.60 is: 113,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.80 : 152,874.30 = 75,938.60 : x
  2. Step 2: Convert to fraction form
    102,117.80/152,874.30 = 75,938.60/x
  3. Step 3: Cross multiply
    102,117.80x = 152,874.30 × 75,938.60
  4. Step 4: Simplify right side
    102,117.80x = 11,609,060,317.98
  5. Step 5: Solve for x
    x = 11,609,060,317.98/102,117.80
  6. Step 6: Final answer
    x = 113,683.02

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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.