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Finding the Fourth Proportional to 119,386.50, 164,742.57 and 65,673.78

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Solution

The fourth proportional to 119,386.50, 164,742.57 and 65,673.78 is: 90,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,386.50 : 164,742.57 = 65,673.78 : x
  2. Step 2: Convert to fraction form
    119,386.50/164,742.57 = 65,673.78/x
  3. Step 3: Cross multiply
    119,386.50x = 164,742.57 × 65,673.78
  4. Step 4: Simplify right side
    119,386.50x = 10,819,267,298.81
  5. Step 5: Solve for x
    x = 10,819,267,298.81/119,386.50
  6. Step 6: Final answer
    x = 90,623.88

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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.