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Finding the Fourth Proportional to 120,295.90, 166,005.75 and 65,848.01

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Solution

The fourth proportional to 120,295.90, 166,005.75 and 65,848.01 is: 90,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,295.90 : 166,005.75 = 65,848.01 : x
  2. Step 2: Convert to fraction form
    120,295.90/166,005.75 = 65,848.01/x
  3. Step 3: Cross multiply
    120,295.90x = 166,005.75 × 65,848.01
  4. Step 4: Simplify right side
    120,295.90x = 10,931,147,702.96
  5. Step 5: Solve for x
    x = 10,931,147,702.96/120,295.90
  6. Step 6: Final answer
    x = 90,868.83

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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.