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Finding the Fourth Proportional to 102,392.46, 141,290.19 and 57,067.02

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Solution

The fourth proportional to 102,392.46, 141,290.19 and 57,067.02 is: 78,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.46 : 141,290.19 = 57,067.02 : x
  2. Step 2: Convert to fraction form
    102,392.46/141,290.19 = 57,067.02/x
  3. Step 3: Cross multiply
    102,392.46x = 141,290.19 × 57,067.02
  4. Step 4: Simplify right side
    102,392.46x = 8,063,010,098.53
  5. Step 5: Solve for x
    x = 8,063,010,098.53/102,392.46
  6. Step 6: Final answer
    x = 78,746.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.