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Finding the Fourth Proportional to 78,297.89, 117,446.38 and 28,366.32

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Solution

The fourth proportional to 78,297.89, 117,446.38 and 28,366.32 is: 42,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,297.89 : 117,446.38 = 28,366.32 : x
  2. Step 2: Convert to fraction form
    78,297.89/117,446.38 = 28,366.32/x
  3. Step 3: Cross multiply
    78,297.89x = 117,446.38 × 28,366.32
  4. Step 4: Simplify right side
    78,297.89x = 3,331,521,749.71
  5. Step 5: Solve for x
    x = 3,331,521,749.71/78,297.89
  6. Step 6: Final answer
    x = 42,549.32

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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.