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Finding the Fourth Proportional to 109,419.47, 150,998.87 and 59,118.47

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Solution

The fourth proportional to 109,419.47, 150,998.87 and 59,118.47 is: 81,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419.47 : 150,998.87 = 59,118.47 : x
  2. Step 2: Convert to fraction form
    109,419.47/150,998.87 = 59,118.47/x
  3. Step 3: Cross multiply
    109,419.47x = 150,998.87 × 59,118.47
  4. Step 4: Simplify right side
    109,419.47x = 8,926,822,125.18
  5. Step 5: Solve for x
    x = 8,926,822,125.18/109,419.47
  6. Step 6: Final answer
    x = 81,583.49

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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.