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Finding the Fourth Proportional to 119,071.70, 164,320.65 and 65,355.74

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Solution

The fourth proportional to 119,071.70, 164,320.65 and 65,355.74 is: 90,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,071.70 : 164,320.65 = 65,355.74 : x
  2. Step 2: Convert to fraction form
    119,071.70/164,320.65 = 65,355.74/x
  3. Step 3: Cross multiply
    119,071.70x = 164,320.65 × 65,355.74
  4. Step 4: Simplify right side
    119,071.70x = 10,739,297,678.03
  5. Step 5: Solve for x
    x = 10,739,297,678.03/119,071.70
  6. Step 6: Final answer
    x = 90,191.86

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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.