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Finding the Fourth Proportional to 120,999.52, 181,499.28 and 37,900

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Solution

The fourth proportional to 120,999.52, 181,499.28 and 37,900 is: 56,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,999.52 : 181,499.28 = 37,900 : x
  2. Step 2: Convert to fraction form
    120,999.52/181,499.28 = 37,900/x
  3. Step 3: Cross multiply
    120,999.52x = 181,499.28 × 37,900
  4. Step 4: Simplify right side
    120,999.52x = 6,878,822,712
  5. Step 5: Solve for x
    x = 6,878,822,712/120,999.52
  6. Step 6: Final answer
    x = 56,850

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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.