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Finding the Fourth Proportional to 119,697.08, 165,184.02 and 65,981.72

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Solution

The fourth proportional to 119,697.08, 165,184.02 and 65,981.72 is: 91,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,697.08 : 165,184.02 = 65,981.72 : x
  2. Step 2: Convert to fraction form
    119,697.08/165,184.02 = 65,981.72/x
  3. Step 3: Cross multiply
    119,697.08x = 165,184.02 × 65,981.72
  4. Step 4: Simplify right side
    119,697.08x = 10,899,125,756.11
  5. Step 5: Solve for x
    x = 10,899,125,756.11/119,697.08
  6. Step 6: Final answer
    x = 91,055.90

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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.