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Finding the Fourth Proportional to 98,574.22, 135,890.78 and 70,230.70

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Solution

The fourth proportional to 98,574.22, 135,890.78 and 70,230.70 is: 96,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,574.22 : 135,890.78 = 70,230.70 : x
  2. Step 2: Convert to fraction form
    98,574.22/135,890.78 = 70,230.70/x
  3. Step 3: Cross multiply
    98,574.22x = 135,890.78 × 70,230.70
  4. Step 4: Simplify right side
    98,574.22x = 9,543,704,602.95
  5. Step 5: Solve for x
    x = 9,543,704,602.95/98,574.22
  6. Step 6: Final answer
    x = 96,817.45

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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.