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Finding the Fourth Proportional to 137,927.88, 206,870.76 and 65,862.36

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Solution

The fourth proportional to 137,927.88, 206,870.76 and 65,862.36 is: 98,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,927.88 : 206,870.76 = 65,862.36 : x
  2. Step 2: Convert to fraction form
    137,927.88/206,870.76 = 65,862.36/x
  3. Step 3: Cross multiply
    137,927.88x = 206,870.76 × 65,862.36
  4. Step 4: Simplify right side
    137,927.88x = 13,624,996,468.59
  5. Step 5: Solve for x
    x = 13,624,996,468.59/137,927.88
  6. Step 6: Final answer
    x = 98,783.48

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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.