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Finding the Fourth Proportional to 119,678.34, 165,115.74 and 74,340.21

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Solution

The fourth proportional to 119,678.34, 165,115.74 and 74,340.21 is: 102,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,678.34 : 165,115.74 = 74,340.21 : x
  2. Step 2: Convert to fraction form
    119,678.34/165,115.74 = 74,340.21/x
  3. Step 3: Cross multiply
    119,678.34x = 165,115.74 × 74,340.21
  4. Step 4: Simplify right side
    119,678.34x = 12,274,738,785.91
  5. Step 5: Solve for x
    x = 12,274,738,785.91/119,678.34
  6. Step 6: Final answer
    x = 102,564.41

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1.5x scale

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.