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Finding the Fourth Proportional to 199,925.64, 299,740.28 and 121,021.20

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Solution

The fourth proportional to 199,925.64, 299,740.28 and 121,021.20 is: 181,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,925.64 : 299,740.28 = 121,021.20 : x
  2. Step 2: Convert to fraction form
    199,925.64/299,740.28 = 121,021.20/x
  3. Step 3: Cross multiply
    199,925.64x = 299,740.28 × 121,021.20
  4. Step 4: Simplify right side
    199,925.64x = 36,274,928,373.94
  5. Step 5: Solve for x
    x = 36,274,928,373.94/199,925.64
  6. Step 6: Final answer
    x = 181,442.10

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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.