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Finding the Fourth Proportional to 120,988, 181,648.86 and 83,459.08

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Solution

The fourth proportional to 120,988, 181,648.86 and 83,459.08 is: 125,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,988 : 181,648.86 = 83,459.08 : x
  2. Step 2: Convert to fraction form
    120,988/181,648.86 = 83,459.08/x
  3. Step 3: Cross multiply
    120,988x = 181,648.86 × 83,459.08
  4. Step 4: Simplify right side
    120,988x = 15,160,246,738.65
  5. Step 5: Solve for x
    x = 15,160,246,738.65/120,988
  6. Step 6: Final answer
    x = 125,303.72

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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.