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Finding the Fourth Proportional to 119,289.81, 164,620.47 and 65,578.28

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Solution

The fourth proportional to 119,289.81, 164,620.47 and 65,578.28 is: 90,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289.81 : 164,620.47 = 65,578.28 : x
  2. Step 2: Convert to fraction form
    119,289.81/164,620.47 = 65,578.28/x
  3. Step 3: Cross multiply
    119,289.81x = 164,620.47 × 65,578.28
  4. Step 4: Simplify right side
    119,289.81x = 10,795,527,275.39
  5. Step 5: Solve for x
    x = 10,795,527,275.39/119,289.81
  6. Step 6: Final answer
    x = 90,498.32

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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.