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Finding the Fourth Proportional to 279,952.47, 420,102.86 and 113,740.47

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Solution

The fourth proportional to 279,952.47, 420,102.86 and 113,740.47 is: 170,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,952.47 : 420,102.86 = 113,740.47 : x
  2. Step 2: Convert to fraction form
    279,952.47/420,102.86 = 113,740.47/x
  3. Step 3: Cross multiply
    279,952.47x = 420,102.86 × 113,740.47
  4. Step 4: Simplify right side
    279,952.47x = 47,782,696,176.04
  5. Step 5: Solve for x
    x = 47,782,696,176.04/279,952.47
  6. Step 6: Final answer
    x = 170,681.46

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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.