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Finding the Fourth Proportional to 200,332.35, 300,386.18 and 137,223.74

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Solution

The fourth proportional to 200,332.35, 300,386.18 and 137,223.74 is: 205,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,332.35 : 300,386.18 = 137,223.74 : x
  2. Step 2: Convert to fraction form
    200,332.35/300,386.18 = 137,223.74/x
  3. Step 3: Cross multiply
    200,332.35x = 300,386.18 × 137,223.74
  4. Step 4: Simplify right side
    200,332.35x = 41,220,116,157.94
  5. Step 5: Solve for x
    x = 41,220,116,157.94/200,332.35
  6. Step 6: Final answer
    x = 205,758.66

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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.