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Finding the Fourth Proportional to 137,483.94, 206,222.13 and 43,988.34

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Solution

The fourth proportional to 137,483.94, 206,222.13 and 43,988.34 is: 65,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,483.94 : 206,222.13 = 43,988.34 : x
  2. Step 2: Convert to fraction form
    137,483.94/206,222.13 = 43,988.34/x
  3. Step 3: Cross multiply
    137,483.94x = 206,222.13 × 43,988.34
  4. Step 4: Simplify right side
    137,483.94x = 9,071,369,169.96
  5. Step 5: Solve for x
    x = 9,071,369,169.96/137,483.94
  6. Step 6: Final answer
    x = 65,981.30

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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.