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Finding the Fourth Proportional to 199,612.10, 299,418.16 and 159,443.01

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Solution

The fourth proportional to 199,612.10, 299,418.16 and 159,443.01 is: 239,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,612.10 : 299,418.16 = 159,443.01 : x
  2. Step 2: Convert to fraction form
    199,612.10/299,418.16 = 159,443.01/x
  3. Step 3: Cross multiply
    199,612.10x = 299,418.16 × 159,443.01
  4. Step 4: Simplify right side
    199,612.10x = 47,740,132,679.06
  5. Step 5: Solve for x
    x = 47,740,132,679.06/199,612.10
  6. Step 6: Final answer
    x = 239,164.52

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1.5x scale

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.