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Finding the Fourth Proportional to 260,339.34, 390,567.60 and 91,871.66

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Solution

The fourth proportional to 260,339.34, 390,567.60 and 91,871.66 is: 137,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,339.34 : 390,567.60 = 91,871.66 : x
  2. Step 2: Convert to fraction form
    260,339.34/390,567.60 = 91,871.66/x
  3. Step 3: Cross multiply
    260,339.34x = 390,567.60 × 91,871.66
  4. Step 4: Simplify right side
    260,339.34x = 35,882,093,754.22
  5. Step 5: Solve for x
    x = 35,882,093,754.22/260,339.34
  6. Step 6: Final answer
    x = 137,828.17

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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.