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Finding the Fourth Proportional to 254,685.47, 382,074.32 and 83,916.30

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Solution

The fourth proportional to 254,685.47, 382,074.32 and 83,916.30 is: 125,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,685.47 : 382,074.32 = 83,916.30 : x
  2. Step 2: Convert to fraction form
    254,685.47/382,074.32 = 83,916.30/x
  3. Step 3: Cross multiply
    254,685.47x = 382,074.32 × 83,916.30
  4. Step 4: Simplify right side
    254,685.47x = 32,062,264,429.96
  5. Step 5: Solve for x
    x = 32,062,264,429.96/254,685.47
  6. Step 6: Final answer
    x = 125,889.65

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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.