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Finding the Fourth Proportional to 200,127.40, 300,045.30 and 81,737.80

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Solution

The fourth proportional to 200,127.40, 300,045.30 and 81,737.80 is: 122,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,127.40 : 300,045.30 = 81,737.80 : x
  2. Step 2: Convert to fraction form
    200,127.40/300,045.30 = 81,737.80/x
  3. Step 3: Cross multiply
    200,127.40x = 300,045.30 × 81,737.80
  4. Step 4: Simplify right side
    200,127.40x = 24,525,042,722.34
  5. Step 5: Solve for x
    x = 24,525,042,722.34/200,127.40
  6. Step 6: Final answer
    x = 122,547.15

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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.