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Finding the Fourth Proportional to 208,915.91, 288,018.32 and 143,502.74

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Solution

The fourth proportional to 208,915.91, 288,018.32 and 143,502.74 is: 197,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,915.91 : 288,018.32 = 143,502.74 : x
  2. Step 2: Convert to fraction form
    208,915.91/288,018.32 = 143,502.74/x
  3. Step 3: Cross multiply
    208,915.91x = 288,018.32 × 143,502.74
  4. Step 4: Simplify right side
    208,915.91x = 41,331,418,090.20
  5. Step 5: Solve for x
    x = 41,331,418,090.20/208,915.91
  6. Step 6: Final answer
    x = 197,837.58

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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.