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Finding the Fourth Proportional to 119,288.28, 164,618.16 and 65,578.80

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Solution

The fourth proportional to 119,288.28, 164,618.16 and 65,578.80 is: 90,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,288.28 : 164,618.16 = 65,578.80 : x
  2. Step 2: Convert to fraction form
    119,288.28/164,618.16 = 65,578.80/x
  3. Step 3: Cross multiply
    119,288.28x = 164,618.16 × 65,578.80
  4. Step 4: Simplify right side
    119,288.28x = 10,795,461,391.01
  5. Step 5: Solve for x
    x = 10,795,461,391.01/119,288.28
  6. Step 6: Final answer
    x = 90,498.93

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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.