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Finding the Fourth Proportional to 136,438.88, 204,408.95 and 98,905.86

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Solution

The fourth proportional to 136,438.88, 204,408.95 and 98,905.86 is: 148,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,438.88 : 204,408.95 = 98,905.86 : x
  2. Step 2: Convert to fraction form
    136,438.88/204,408.95 = 98,905.86/x
  3. Step 3: Cross multiply
    136,438.88x = 204,408.95 × 98,905.86
  4. Step 4: Simplify right side
    136,438.88x = 20,217,243,053.26
  5. Step 5: Solve for x
    x = 20,217,243,053.26/136,438.88
  6. Step 6: Final answer
    x = 148,178.02

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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.