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Finding the Fourth Proportional to 279,973.47, 420,134.40 and 113,761.47

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Solution

The fourth proportional to 279,973.47, 420,134.40 and 113,761.47 is: 170,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,973.47 : 420,134.40 = 113,761.47 : x
  2. Step 2: Convert to fraction form
    279,973.47/420,134.40 = 113,761.47/x
  3. Step 3: Cross multiply
    279,973.47x = 420,134.40 × 113,761.47
  4. Step 4: Simplify right side
    279,973.47x = 47,795,106,941.57
  5. Step 5: Solve for x
    x = 47,795,106,941.57/279,973.47
  6. Step 6: Final answer
    x = 170,712.99

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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.