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Finding the Fourth Proportional to 121,345.80, 181,986.30 and 42,451.80

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Solution

The fourth proportional to 121,345.80, 181,986.30 and 42,451.80 is: 63,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,345.80 : 181,986.30 = 42,451.80 : x
  2. Step 2: Convert to fraction form
    121,345.80/181,986.30 = 42,451.80/x
  3. Step 3: Cross multiply
    121,345.80x = 181,986.30 × 42,451.80
  4. Step 4: Simplify right side
    121,345.80x = 7,725,646,010.34
  5. Step 5: Solve for x
    x = 7,725,646,010.34/121,345.80
  6. Step 6: Final answer
    x = 63,666.37

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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.