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Finding the Fourth Proportional to 102,098.48, 140,874.24 and 61,804.40

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Solution

The fourth proportional to 102,098.48, 140,874.24 and 61,804.40 is: 85,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.48 : 140,874.24 = 61,804.40 : x
  2. Step 2: Convert to fraction form
    102,098.48/140,874.24 = 61,804.40/x
  3. Step 3: Cross multiply
    102,098.48x = 140,874.24 × 61,804.40
  4. Step 4: Simplify right side
    102,098.48x = 8,706,647,878.66
  5. Step 5: Solve for x
    x = 8,706,647,878.66/102,098.48
  6. Step 6: Final answer
    x = 85,276.96

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1.5x scale

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.