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Finding the Fourth Proportional to 119,643.90, 165,102.60 and 65,920.24

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Solution

The fourth proportional to 119,643.90, 165,102.60 and 65,920.24 is: 90,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,643.90 : 165,102.60 = 65,920.24 : x
  2. Step 2: Convert to fraction form
    119,643.90/165,102.60 = 65,920.24/x
  3. Step 3: Cross multiply
    119,643.90x = 165,102.60 × 65,920.24
  4. Step 4: Simplify right side
    119,643.90x = 10,883,603,016.62
  5. Step 5: Solve for x
    x = 10,883,603,016.62/119,643.90
  6. Step 6: Final answer
    x = 90,966.64

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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.