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Finding the Fourth Proportional to 102,055.86, 140,788.02 and 66,257.10

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Solution

The fourth proportional to 102,055.86, 140,788.02 and 66,257.10 is: 91,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,055.86 : 140,788.02 = 66,257.10 : x
  2. Step 2: Convert to fraction form
    102,055.86/140,788.02 = 66,257.10/x
  3. Step 3: Cross multiply
    102,055.86x = 140,788.02 × 66,257.10
  4. Step 4: Simplify right side
    102,055.86x = 9,328,205,919.94
  5. Step 5: Solve for x
    x = 9,328,205,919.94/102,055.86
  6. Step 6: Final answer
    x = 91,402.94

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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.