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Finding the Fourth Proportional to 255,090.80, 382,642.50 and 121,985.12

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Solution

The fourth proportional to 255,090.80, 382,642.50 and 121,985.12 is: 182,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,090.80 : 382,642.50 = 121,985.12 : x
  2. Step 2: Convert to fraction form
    255,090.80/382,642.50 = 121,985.12/x
  3. Step 3: Cross multiply
    255,090.80x = 382,642.50 × 121,985.12
  4. Step 4: Simplify right side
    255,090.80x = 46,676,691,279.60
  5. Step 5: Solve for x
    x = 46,676,691,279.60/255,090.80
  6. Step 6: Final answer
    x = 182,980.69

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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.