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Finding the Fourth Proportional to 121,985.80, 182,892.30 and 55,457.80

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Solution

The fourth proportional to 121,985.80, 182,892.30 and 55,457.80 is: 83,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,985.80 : 182,892.30 = 55,457.80 : x
  2. Step 2: Convert to fraction form
    121,985.80/182,892.30 = 55,457.80/x
  3. Step 3: Cross multiply
    121,985.80x = 182,892.30 × 55,457.80
  4. Step 4: Simplify right side
    121,985.80x = 10,142,804,594.94
  5. Step 5: Solve for x
    x = 10,142,804,594.94/121,985.80
  6. Step 6: Final answer
    x = 83,147.42

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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.