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Finding the Fourth Proportional to 149,769, 206,681.40 and 82,701

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Solution

The fourth proportional to 149,769, 206,681.40 and 82,701 is: 114,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,769 : 206,681.40 = 82,701 : x
  2. Step 2: Convert to fraction form
    149,769/206,681.40 = 82,701/x
  3. Step 3: Cross multiply
    149,769x = 206,681.40 × 82,701
  4. Step 4: Simplify right side
    149,769x = 17,092,758,461.40
  5. Step 5: Solve for x
    x = 17,092,758,461.40/149,769
  6. Step 6: Final answer
    x = 114,127.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.