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Finding the Fourth Proportional to 121,073.76, 181,746.72 and 51,012

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Solution

The fourth proportional to 121,073.76, 181,746.72 and 51,012 is: 76,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,073.76 : 181,746.72 = 51,012 : x
  2. Step 2: Convert to fraction form
    121,073.76/181,746.72 = 51,012/x
  3. Step 3: Cross multiply
    121,073.76x = 181,746.72 × 51,012
  4. Step 4: Simplify right side
    121,073.76x = 9,271,263,680.64
  5. Step 5: Solve for x
    x = 9,271,263,680.64/121,073.76
  6. Step 6: Final answer
    x = 76,575.33

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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.