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Finding the Fourth Proportional to 260,416.47, 390,655.96 and 91,902

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Solution

The fourth proportional to 260,416.47, 390,655.96 and 91,902 is: 137,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,416.47 : 390,655.96 = 91,902 : x
  2. Step 2: Convert to fraction form
    260,416.47/390,655.96 = 91,902/x
  3. Step 3: Cross multiply
    260,416.47x = 390,655.96 × 91,902
  4. Step 4: Simplify right side
    260,416.47x = 35,902,063,806.17
  5. Step 5: Solve for x
    x = 35,902,063,806.17/260,416.47
  6. Step 6: Final answer
    x = 137,864.03

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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.