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Finding the Fourth Proportional to 121,309.84, 181,964.76 and 47,386

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Solution

The fourth proportional to 121,309.84, 181,964.76 and 47,386 is: 71,079

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,309.84 : 181,964.76 = 47,386 : x
  2. Step 2: Convert to fraction form
    121,309.84/181,964.76 = 47,386/x
  3. Step 3: Cross multiply
    121,309.84x = 181,964.76 × 47,386
  4. Step 4: Simplify right side
    121,309.84x = 8,622,582,117.36
  5. Step 5: Solve for x
    x = 8,622,582,117.36/121,309.84
  6. Step 6: Final answer
    x = 71,079

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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.