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Finding the Fourth Proportional to 137,807.84, 206,595.12 and 54,656.48

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Solution

The fourth proportional to 137,807.84, 206,595.12 and 54,656.48 is: 81,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,807.84 : 206,595.12 = 54,656.48 : x
  2. Step 2: Convert to fraction form
    137,807.84/206,595.12 = 54,656.48/x
  3. Step 3: Cross multiply
    137,807.84x = 206,595.12 × 54,656.48
  4. Step 4: Simplify right side
    137,807.84x = 11,291,762,044.38
  5. Step 5: Solve for x
    x = 11,291,762,044.38/137,807.84
  6. Step 6: Final answer
    x = 81,938.46

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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.