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Finding the Fourth Proportional to 109,337.30, 164,005.95 and 98,839.70

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Solution

The fourth proportional to 109,337.30, 164,005.95 and 98,839.70 is: 148,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,337.30 : 164,005.95 = 98,839.70 : x
  2. Step 2: Convert to fraction form
    109,337.30/164,005.95 = 98,839.70/x
  3. Step 3: Cross multiply
    109,337.30x = 164,005.95 × 98,839.70
  4. Step 4: Simplify right side
    109,337.30x = 16,210,298,896.22
  5. Step 5: Solve for x
    x = 16,210,298,896.22/109,337.30
  6. Step 6: Final answer
    x = 148,259.55

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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.