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Finding the Fourth Proportional to 254,925, 382,387.50 and 121,400.46

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Solution

The fourth proportional to 254,925, 382,387.50 and 121,400.46 is: 182,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,925 : 382,387.50 = 121,400.46 : x
  2. Step 2: Convert to fraction form
    254,925/382,387.50 = 121,400.46/x
  3. Step 3: Cross multiply
    254,925x = 382,387.50 × 121,400.46
  4. Step 4: Simplify right side
    254,925x = 46,422,018,398.25
  5. Step 5: Solve for x
    x = 46,422,018,398.25/254,925
  6. Step 6: Final answer
    x = 182,100.69

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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.