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Finding the Fourth Proportional to 120,148.82, 165,801.22 and 65,702.30

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Solution

The fourth proportional to 120,148.82, 165,801.22 and 65,702.30 is: 90,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.82 : 165,801.22 = 65,702.30 : x
  2. Step 2: Convert to fraction form
    120,148.82/165,801.22 = 65,702.30/x
  3. Step 3: Cross multiply
    120,148.82x = 165,801.22 × 65,702.30
  4. Step 4: Simplify right side
    120,148.82x = 10,893,521,496.81
  5. Step 5: Solve for x
    x = 10,893,521,496.81/120,148.82
  6. Step 6: Final answer
    x = 90,666.90

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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.