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Finding the Fourth Proportional to 137,604, 206,415.72 and 54,498

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Solution

The fourth proportional to 137,604, 206,415.72 and 54,498 is: 81,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,604 : 206,415.72 = 54,498 : x
  2. Step 2: Convert to fraction form
    137,604/206,415.72 = 54,498/x
  3. Step 3: Cross multiply
    137,604x = 206,415.72 × 54,498
  4. Step 4: Simplify right side
    137,604x = 11,249,243,908.56
  5. Step 5: Solve for x
    x = 11,249,243,908.56/137,604
  6. Step 6: Final answer
    x = 81,750.85

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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.