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Finding the Fourth Proportional to 187,798.10, 259,168.01 and 102,915.16

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Solution

The fourth proportional to 187,798.10, 259,168.01 and 102,915.16 is: 142,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,798.10 : 259,168.01 = 102,915.16 : x
  2. Step 2: Convert to fraction form
    187,798.10/259,168.01 = 102,915.16/x
  3. Step 3: Cross multiply
    187,798.10x = 259,168.01 × 102,915.16
  4. Step 4: Simplify right side
    187,798.10x = 26,672,316,053.54
  5. Step 5: Solve for x
    x = 26,672,316,053.54/187,798.10
  6. Step 6: Final answer
    x = 142,026.55

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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.