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Finding the Fourth Proportional to 98,013.30, 135,288.81 and 77,905.86

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Solution

The fourth proportional to 98,013.30, 135,288.81 and 77,905.86 is: 107,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013.30 : 135,288.81 = 77,905.86 : x
  2. Step 2: Convert to fraction form
    98,013.30/135,288.81 = 77,905.86/x
  3. Step 3: Cross multiply
    98,013.30x = 135,288.81 × 77,905.86
  4. Step 4: Simplify right side
    98,013.30x = 10,539,791,091.43
  5. Step 5: Solve for x
    x = 10,539,791,091.43/98,013.30
  6. Step 6: Final answer
    x = 107,534.29

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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.