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Finding the Fourth Proportional to 137,420.80, 206,011.20 and 53,238.40

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Solution

The fourth proportional to 137,420.80, 206,011.20 and 53,238.40 is: 79,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,420.80 : 206,011.20 = 53,238.40 : x
  2. Step 2: Convert to fraction form
    137,420.80/206,011.20 = 53,238.40/x
  3. Step 3: Cross multiply
    137,420.80x = 206,011.20 × 53,238.40
  4. Step 4: Simplify right side
    137,420.80x = 10,967,706,670.08
  5. Step 5: Solve for x
    x = 10,967,706,670.08/137,420.80
  6. Step 6: Final answer
    x = 79,811.11

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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.