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Finding the Fourth Proportional to 172,353.71, 237,782.69 and 106,912.18

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Solution

The fourth proportional to 172,353.71, 237,782.69 and 106,912.18 is: 147,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,353.71 : 237,782.69 = 106,912.18 : x
  2. Step 2: Convert to fraction form
    172,353.71/237,782.69 = 106,912.18/x
  3. Step 3: Cross multiply
    172,353.71x = 237,782.69 × 106,912.18
  4. Step 4: Simplify right side
    172,353.71x = 25,421,864,910.71
  5. Step 5: Solve for x
    x = 25,421,864,910.71/172,353.71
  6. Step 6: Final answer
    x = 147,498.22

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1.5x scale

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.