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Finding the Fourth Proportional to 120,239.40, 165,983.50 and 71,858.40

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Solution

The fourth proportional to 120,239.40, 165,983.50 and 71,858.40 is: 99,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,239.40 : 165,983.50 = 71,858.40 : x
  2. Step 2: Convert to fraction form
    120,239.40/165,983.50 = 71,858.40/x
  3. Step 3: Cross multiply
    120,239.40x = 165,983.50 × 71,858.40
  4. Step 4: Simplify right side
    120,239.40x = 11,927,308,736.40
  5. Step 5: Solve for x
    x = 11,927,308,736.40/120,239.40
  6. Step 6: Final answer
    x = 99,196.34

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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.