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Finding the Fourth Proportional to 119,700.69, 164,978.88 and 87,382.14

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Solution

The fourth proportional to 119,700.69, 164,978.88 and 87,382.14 is: 120,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,700.69 : 164,978.88 = 87,382.14 : x
  2. Step 2: Convert to fraction form
    119,700.69/164,978.88 = 87,382.14/x
  3. Step 3: Cross multiply
    119,700.69x = 164,978.88 × 87,382.14
  4. Step 4: Simplify right side
    119,700.69x = 14,416,207,589.20
  5. Step 5: Solve for x
    x = 14,416,207,589.20/119,700.69
  6. Step 6: Final answer
    x = 120,435.46

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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.