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Finding the Fourth Proportional to 103,257.68, 154,895.76 and 40,076.32

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Solution

The fourth proportional to 103,257.68, 154,895.76 and 40,076.32 is: 60,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,257.68 : 154,895.76 = 40,076.32 : x
  2. Step 2: Convert to fraction form
    103,257.68/154,895.76 = 40,076.32/x
  3. Step 3: Cross multiply
    103,257.68x = 154,895.76 × 40,076.32
  4. Step 4: Simplify right side
    103,257.68x = 6,207,652,044.40
  5. Step 5: Solve for x
    x = 6,207,652,044.40/103,257.68
  6. Step 6: Final answer
    x = 60,118.07

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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.