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Finding the Fourth Proportional to 109,315.76, 163,996.68 and 35,438

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Solution

The fourth proportional to 109,315.76, 163,996.68 and 35,438 is: 53,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,315.76 : 163,996.68 = 35,438 : x
  2. Step 2: Convert to fraction form
    109,315.76/163,996.68 = 35,438/x
  3. Step 3: Cross multiply
    109,315.76x = 163,996.68 × 35,438
  4. Step 4: Simplify right side
    109,315.76x = 5,811,714,345.84
  5. Step 5: Solve for x
    x = 5,811,714,345.84/109,315.76
  6. Step 6: Final answer
    x = 53,164.47

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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.