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Finding the Fourth Proportional to 260,406.54, 390,641.03 and 91,892.07

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Solution

The fourth proportional to 260,406.54, 390,641.03 and 91,892.07 is: 137,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,406.54 : 390,641.03 = 91,892.07 : x
  2. Step 2: Convert to fraction form
    260,406.54/390,641.03 = 91,892.07/x
  3. Step 3: Cross multiply
    260,406.54x = 390,641.03 × 91,892.07
  4. Step 4: Simplify right side
    260,406.54x = 35,896,812,414.17
  5. Step 5: Solve for x
    x = 35,896,812,414.17/260,406.54
  6. Step 6: Final answer
    x = 137,849.12

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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.