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Finding the Fourth Proportional to 109,458.30, 164,187.45 and 81,810.30

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Solution

The fourth proportional to 109,458.30, 164,187.45 and 81,810.30 is: 122,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,458.30 : 164,187.45 = 81,810.30 : x
  2. Step 2: Convert to fraction form
    109,458.30/164,187.45 = 81,810.30/x
  3. Step 3: Cross multiply
    109,458.30x = 164,187.45 × 81,810.30
  4. Step 4: Simplify right side
    109,458.30x = 13,432,224,540.74
  5. Step 5: Solve for x
    x = 13,432,224,540.74/109,458.30
  6. Step 6: Final answer
    x = 122,715.45

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1.5x scale

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.