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Finding the Fourth Proportional to 123,715.90, 185,683.20 and 106,001.20

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Solution

The fourth proportional to 123,715.90, 185,683.20 and 106,001.20 is: 159,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,715.90 : 185,683.20 = 106,001.20 : x
  2. Step 2: Convert to fraction form
    123,715.90/185,683.20 = 106,001.20/x
  3. Step 3: Cross multiply
    123,715.90x = 185,683.20 × 106,001.20
  4. Step 4: Simplify right side
    123,715.90x = 19,682,642,019.84
  5. Step 5: Solve for x
    x = 19,682,642,019.84/123,715.90
  6. Step 6: Final answer
    x = 159,095.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.