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Finding the Fourth Proportional to 98,903.70, 148,181.67 and 83,212.11

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Solution

The fourth proportional to 98,903.70, 148,181.67 and 83,212.11 is: 124,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903.70 : 148,181.67 = 83,212.11 : x
  2. Step 2: Convert to fraction form
    98,903.70/148,181.67 = 83,212.11/x
  3. Step 3: Cross multiply
    98,903.70x = 148,181.67 × 83,212.11
  4. Step 4: Simplify right side
    98,903.70x = 12,330,509,424.02
  5. Step 5: Solve for x
    x = 12,330,509,424.02/98,903.70
  6. Step 6: Final answer
    x = 124,671.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.