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Finding the Fourth Proportional to 119,078.40, 164,330.06 and 65,368.32

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Solution

The fourth proportional to 119,078.40, 164,330.06 and 65,368.32 is: 90,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,078.40 : 164,330.06 = 65,368.32 : x
  2. Step 2: Convert to fraction form
    119,078.40/164,330.06 = 65,368.32/x
  3. Step 3: Cross multiply
    119,078.40x = 164,330.06 × 65,368.32
  4. Step 4: Simplify right side
    119,078.40x = 10,741,979,620.86
  5. Step 5: Solve for x
    x = 10,741,979,620.86/119,078.40
  6. Step 6: Final answer
    x = 90,209.30

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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.