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Finding the Fourth Proportional to 74,889.40, 112,302.86 and 30,486

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Solution

The fourth proportional to 74,889.40, 112,302.86 and 30,486 is: 45,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,889.40 : 112,302.86 = 30,486 : x
  2. Step 2: Convert to fraction form
    74,889.40/112,302.86 = 30,486/x
  3. Step 3: Cross multiply
    74,889.40x = 112,302.86 × 30,486
  4. Step 4: Simplify right side
    74,889.40x = 3,423,664,989.96
  5. Step 5: Solve for x
    x = 3,423,664,989.96/74,889.40
  6. Step 6: Final answer
    x = 45,716.28

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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.