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Finding the Fourth Proportional to 120,924, 181,390.08 and 54,364.32

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Solution

The fourth proportional to 120,924, 181,390.08 and 54,364.32 is: 81,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,924 : 181,390.08 = 54,364.32 : x
  2. Step 2: Convert to fraction form
    120,924/181,390.08 = 54,364.32/x
  3. Step 3: Cross multiply
    120,924x = 181,390.08 × 54,364.32
  4. Step 4: Simplify right side
    120,924x = 9,861,148,353.95
  5. Step 5: Solve for x
    x = 9,861,148,353.95/120,924
  6. Step 6: Final answer
    x = 81,548.31

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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.