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Finding the Fourth Proportional to 147,642, 221,463 and 47,885.64

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Solution

The fourth proportional to 147,642, 221,463 and 47,885.64 is: 71,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,642 : 221,463 = 47,885.64 : x
  2. Step 2: Convert to fraction form
    147,642/221,463 = 47,885.64/x
  3. Step 3: Cross multiply
    147,642x = 221,463 × 47,885.64
  4. Step 4: Simplify right side
    147,642x = 10,604,897,491.32
  5. Step 5: Solve for x
    x = 10,604,897,491.32/147,642
  6. Step 6: Final answer
    x = 71,828.46

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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.