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Finding the Fourth Proportional to 130,842, 180,562.68 and 71,226

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Solution

The fourth proportional to 130,842, 180,562.68 and 71,226 is: 98,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,842 : 180,562.68 = 71,226 : x
  2. Step 2: Convert to fraction form
    130,842/180,562.68 = 71,226/x
  3. Step 3: Cross multiply
    130,842x = 180,562.68 × 71,226
  4. Step 4: Simplify right side
    130,842x = 12,860,757,445.68
  5. Step 5: Solve for x
    x = 12,860,757,445.68/130,842
  6. Step 6: Final answer
    x = 98,292.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.