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Finding the Fourth Proportional to 98,429.76, 135,834.84 and 55,989.72

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Solution

The fourth proportional to 98,429.76, 135,834.84 and 55,989.72 is: 77,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,429.76 : 135,834.84 = 55,989.72 : x
  2. Step 2: Convert to fraction form
    98,429.76/135,834.84 = 55,989.72/x
  3. Step 3: Cross multiply
    98,429.76x = 135,834.84 × 55,989.72
  4. Step 4: Simplify right side
    98,429.76x = 7,605,354,657.84
  5. Step 5: Solve for x
    x = 7,605,354,657.84/98,429.76
  6. Step 6: Final answer
    x = 77,266.82

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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.