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Finding the Fourth Proportional to 147,658.31, 221,389.04 and 71,736.60

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Solution

The fourth proportional to 147,658.31, 221,389.04 and 71,736.60 is: 107,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,658.31 : 221,389.04 = 71,736.60 : x
  2. Step 2: Convert to fraction form
    147,658.31/221,389.04 = 71,736.60/x
  3. Step 3: Cross multiply
    147,658.31x = 221,389.04 × 71,736.60
  4. Step 4: Simplify right side
    147,658.31x = 15,881,697,186.21
  5. Step 5: Solve for x
    x = 15,881,697,186.21/147,658.31
  6. Step 6: Final answer
    x = 107,557.09

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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.