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Finding the Fourth Proportional to 121,304.61, 181,950.69 and 46,419

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Solution

The fourth proportional to 121,304.61, 181,950.69 and 46,419 is: 69,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,304.61 : 181,950.69 = 46,419 : x
  2. Step 2: Convert to fraction form
    121,304.61/181,950.69 = 46,419/x
  3. Step 3: Cross multiply
    121,304.61x = 181,950.69 × 46,419
  4. Step 4: Simplify right side
    121,304.61x = 8,445,969,079.11
  5. Step 5: Solve for x
    x = 8,445,969,079.11/121,304.61
  6. Step 6: Final answer
    x = 69,626.12

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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.