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Finding the Fourth Proportional to 194,239.68, 268,032.24 and 143,280

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Solution

The fourth proportional to 194,239.68, 268,032.24 and 143,280 is: 197,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,239.68 : 268,032.24 = 143,280 : x
  2. Step 2: Convert to fraction form
    194,239.68/268,032.24 = 143,280/x
  3. Step 3: Cross multiply
    194,239.68x = 268,032.24 × 143,280
  4. Step 4: Simplify right side
    194,239.68x = 38,403,659,347.20
  5. Step 5: Solve for x
    x = 38,403,659,347.20/194,239.68
  6. Step 6: Final answer
    x = 197,712.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.