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Finding the Fourth Proportional to 102,390.93, 141,215.90 and 85,974.75

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Solution

The fourth proportional to 102,390.93, 141,215.90 and 85,974.75 is: 118,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390.93 : 141,215.90 = 85,974.75 : x
  2. Step 2: Convert to fraction form
    102,390.93/141,215.90 = 85,974.75/x
  3. Step 3: Cross multiply
    102,390.93x = 141,215.90 × 85,974.75
  4. Step 4: Simplify right side
    102,390.93x = 12,141,001,268.65
  5. Step 5: Solve for x
    x = 12,141,001,268.65/102,390.93
  6. Step 6: Final answer
    x = 118,574.97

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1.5x scale

Why These Related Problems?

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