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Finding the Fourth Proportional to 119,178.16, 164,465.87 and 65,464.09

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Solution

The fourth proportional to 119,178.16, 164,465.87 and 65,464.09 is: 90,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,178.16 : 164,465.87 = 65,464.09 : x
  2. Step 2: Convert to fraction form
    119,178.16/164,465.87 = 65,464.09/x
  3. Step 3: Cross multiply
    119,178.16x = 164,465.87 × 65,464.09
  4. Step 4: Simplify right side
    119,178.16x = 10,766,608,515.61
  5. Step 5: Solve for x
    x = 10,766,608,515.61/119,178.16
  6. Step 6: Final answer
    x = 90,340.45

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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.