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Finding the Fourth Proportional to 120,904.20, 181,502.10 and 67,638.60

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Solution

The fourth proportional to 120,904.20, 181,502.10 and 67,638.60 is: 101,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,904.20 : 181,502.10 = 67,638.60 : x
  2. Step 2: Convert to fraction form
    120,904.20/181,502.10 = 67,638.60/x
  3. Step 3: Cross multiply
    120,904.20x = 181,502.10 × 67,638.60
  4. Step 4: Simplify right side
    120,904.20x = 12,276,547,941.06
  5. Step 5: Solve for x
    x = 12,276,547,941.06/120,904.20
  6. Step 6: Final answer
    x = 101,539.47

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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.