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Finding the Fourth Proportional to 254,955, 382,478.04 and 105,111.96

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Solution

The fourth proportional to 254,955, 382,478.04 and 105,111.96 is: 157,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,955 : 382,478.04 = 105,111.96 : x
  2. Step 2: Convert to fraction form
    254,955/382,478.04 = 105,111.96/x
  3. Step 3: Cross multiply
    254,955x = 382,478.04 × 105,111.96
  4. Step 4: Simplify right side
    254,955x = 40,203,016,441.36
  5. Step 5: Solve for x
    x = 40,203,016,441.36/254,955
  6. Step 6: Final answer
    x = 157,686.72

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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.