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Finding the Fourth Proportional to 78,568.43, 117,758.88 and 54,746.93

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Solution

The fourth proportional to 78,568.43, 117,758.88 and 54,746.93 is: 82,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.43 : 117,758.88 = 54,746.93 : x
  2. Step 2: Convert to fraction form
    78,568.43/117,758.88 = 54,746.93/x
  3. Step 3: Cross multiply
    78,568.43x = 117,758.88 × 54,746.93
  4. Step 4: Simplify right side
    78,568.43x = 6,446,937,454.64
  5. Step 5: Solve for x
    x = 6,446,937,454.64/78,568.43
  6. Step 6: Final answer
    x = 82,055.07

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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.