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Finding the Fourth Proportional to 102,102.50, 140,880.78 and 59,652.82

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Solution

The fourth proportional to 102,102.50, 140,880.78 and 59,652.82 is: 82,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.50 : 140,880.78 = 59,652.82 : x
  2. Step 2: Convert to fraction form
    102,102.50/140,880.78 = 59,652.82/x
  3. Step 3: Cross multiply
    102,102.50x = 140,880.78 × 59,652.82
  4. Step 4: Simplify right side
    102,102.50x = 8,403,935,810.80
  5. Step 5: Solve for x
    x = 8,403,935,810.80/102,102.50
  6. Step 6: Final answer
    x = 82,308.82

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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.