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Finding the Fourth Proportional to 260,314.76, 390,402.08 and 91,813.22

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Solution

The fourth proportional to 260,314.76, 390,402.08 and 91,813.22 is: 137,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,314.76 : 390,402.08 = 91,813.22 : x
  2. Step 2: Convert to fraction form
    260,314.76/390,402.08 = 91,813.22/x
  3. Step 3: Cross multiply
    260,314.76x = 390,402.08 × 91,813.22
  4. Step 4: Simplify right side
    260,314.76x = 35,844,072,059.50
  5. Step 5: Solve for x
    x = 35,844,072,059.50/260,314.76
  6. Step 6: Final answer
    x = 137,695.12

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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.