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Finding the Fourth Proportional to 199,808.16, 299,764.08 and 99,964.32

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Solution

The fourth proportional to 199,808.16, 299,764.08 and 99,964.32 is: 149,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,808.16 : 299,764.08 = 99,964.32 : x
  2. Step 2: Convert to fraction form
    199,808.16/299,764.08 = 99,964.32/x
  3. Step 3: Cross multiply
    199,808.16x = 299,764.08 × 99,964.32
  4. Step 4: Simplify right side
    199,808.16x = 29,965,712,417.63
  5. Step 5: Solve for x
    x = 29,965,712,417.63/199,808.16
  6. Step 6: Final answer
    x = 149,972.42

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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.