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Finding the Fourth Proportional to 98,064.76, 135,358.35 and 57,791.50

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Solution

The fourth proportional to 98,064.76, 135,358.35 and 57,791.50 is: 79,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064.76 : 135,358.35 = 57,791.50 : x
  2. Step 2: Convert to fraction form
    98,064.76/135,358.35 = 57,791.50/x
  3. Step 3: Cross multiply
    98,064.76x = 135,358.35 × 57,791.50
  4. Step 4: Simplify right side
    98,064.76x = 7,822,562,084.03
  5. Step 5: Solve for x
    x = 7,822,562,084.03/98,064.76
  6. Step 6: Final answer
    x = 79,769.35

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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.