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Finding the Fourth Proportional to 85,465.85, 127,949.63 and 49,818.11

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Solution

The fourth proportional to 85,465.85, 127,949.63 and 49,818.11 is: 74,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,465.85 : 127,949.63 = 49,818.11 : x
  2. Step 2: Convert to fraction form
    85,465.85/127,949.63 = 49,818.11/x
  3. Step 3: Cross multiply
    85,465.85x = 127,949.63 × 49,818.11
  4. Step 4: Simplify right side
    85,465.85x = 6,374,208,492.71
  5. Step 5: Solve for x
    x = 6,374,208,492.71/85,465.85
  6. Step 6: Final answer
    x = 74,581.94

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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.