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Finding the Fourth Proportional to 120,874.72, 181,062.93 and 70,803.01

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Solution

The fourth proportional to 120,874.72, 181,062.93 and 70,803.01 is: 106,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.72 : 181,062.93 = 70,803.01 : x
  2. Step 2: Convert to fraction form
    120,874.72/181,062.93 = 70,803.01/x
  3. Step 3: Cross multiply
    120,874.72x = 181,062.93 × 70,803.01
  4. Step 4: Simplify right side
    120,874.72x = 12,819,800,935.26
  5. Step 5: Solve for x
    x = 12,819,800,935.26/120,874.72
  6. Step 6: Final answer
    x = 106,058.58

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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.