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Finding the Fourth Proportional to 199,482.92, 299,223.54 and 81,153.28

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Solution

The fourth proportional to 199,482.92, 299,223.54 and 81,153.28 is: 121,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,482.92 : 299,223.54 = 81,153.28 : x
  2. Step 2: Convert to fraction form
    199,482.92/299,223.54 = 81,153.28/x
  3. Step 3: Cross multiply
    199,482.92x = 299,223.54 × 81,153.28
  4. Step 4: Simplify right side
    199,482.92x = 24,282,971,724.21
  5. Step 5: Solve for x
    x = 24,282,971,724.21/199,482.92
  6. Step 6: Final answer
    x = 121,729.58

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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.