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Finding the Fourth Proportional to 71,955.54, 107,838.54 and 40,365

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Solution

The fourth proportional to 71,955.54, 107,838.54 and 40,365 is: 60,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,955.54 : 107,838.54 = 40,365 : x
  2. Step 2: Convert to fraction form
    71,955.54/107,838.54 = 40,365/x
  3. Step 3: Cross multiply
    71,955.54x = 107,838.54 × 40,365
  4. Step 4: Simplify right side
    71,955.54x = 4,352,902,667.10
  5. Step 5: Solve for x
    x = 4,352,902,667.10/71,955.54
  6. Step 6: Final answer
    x = 60,494.34

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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.