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Finding the Fourth Proportional to 121,477.91, 182,278.40 and 81,952.01

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Solution

The fourth proportional to 121,477.91, 182,278.40 and 81,952.01 is: 122,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,477.91 : 182,278.40 = 81,952.01 : x
  2. Step 2: Convert to fraction form
    121,477.91/182,278.40 = 81,952.01/x
  3. Step 3: Cross multiply
    121,477.91x = 182,278.40 × 81,952.01
  4. Step 4: Simplify right side
    121,477.91x = 14,938,081,259.58
  5. Step 5: Solve for x
    x = 14,938,081,259.58/121,477.91
  6. Step 6: Final answer
    x = 122,969.53

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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.