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Finding the Fourth Proportional to 199,341.81, 299,012.72 and 136,822.77

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Solution

The fourth proportional to 199,341.81, 299,012.72 and 136,822.77 is: 205,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,341.81 : 299,012.72 = 136,822.77 : x
  2. Step 2: Convert to fraction form
    199,341.81/299,012.72 = 136,822.77/x
  3. Step 3: Cross multiply
    199,341.81x = 299,012.72 × 136,822.77
  4. Step 4: Simplify right side
    199,341.81x = 40,911,747,931.52
  5. Step 5: Solve for x
    x = 40,911,747,931.52/199,341.81
  6. Step 6: Final answer
    x = 205,234.16

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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.