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Finding the Fourth Proportional to 121,959.69, 182,967.32 and 65,798.75

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Solution

The fourth proportional to 121,959.69, 182,967.32 and 65,798.75 is: 98,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,959.69 : 182,967.32 = 65,798.75 : x
  2. Step 2: Convert to fraction form
    121,959.69/182,967.32 = 65,798.75/x
  3. Step 3: Cross multiply
    121,959.69x = 182,967.32 × 65,798.75
  4. Step 4: Simplify right side
    121,959.69x = 12,039,020,196.51
  5. Step 5: Solve for x
    x = 12,039,020,196.51/121,959.69
  6. Step 6: Final answer
    x = 98,713.11

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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.