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Finding the Fourth Proportional to 98,002.30, 135,273.64 and 77,894.86

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Solution

The fourth proportional to 98,002.30, 135,273.64 and 77,894.86 is: 107,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,002.30 : 135,273.64 = 77,894.86 : x
  2. Step 2: Convert to fraction form
    98,002.30/135,273.64 = 77,894.86/x
  3. Step 3: Cross multiply
    98,002.30x = 135,273.64 × 77,894.86
  4. Step 4: Simplify right side
    98,002.30x = 10,537,121,249.49
  5. Step 5: Solve for x
    x = 10,537,121,249.49/98,002.30
  6. Step 6: Final answer
    x = 107,519.12

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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.