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Finding the Fourth Proportional to 120,140.97, 180,285.57 and 61,019.07

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Solution

The fourth proportional to 120,140.97, 180,285.57 and 61,019.07 is: 91,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,140.97 : 180,285.57 = 61,019.07 : x
  2. Step 2: Convert to fraction form
    120,140.97/180,285.57 = 61,019.07/x
  3. Step 3: Cross multiply
    120,140.97x = 180,285.57 × 61,019.07
  4. Step 4: Simplify right side
    120,140.97x = 11,000,857,815.82
  5. Step 5: Solve for x
    x = 11,000,857,815.82/120,140.97
  6. Step 6: Final answer
    x = 91,566.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.