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Finding the Fourth Proportional to 102,102.62, 140,914.17 and 61,830.38

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Solution

The fourth proportional to 102,102.62, 140,914.17 and 61,830.38 is: 85,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.62 : 140,914.17 = 61,830.38 : x
  2. Step 2: Convert to fraction form
    102,102.62/140,914.17 = 61,830.38/x
  3. Step 3: Cross multiply
    102,102.62x = 140,914.17 × 61,830.38
  4. Step 4: Simplify right side
    102,102.62x = 8,712,777,030.77
  5. Step 5: Solve for x
    x = 8,712,777,030.77/102,102.62
  6. Step 6: Final answer
    x = 85,333.53

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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.