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Finding the Fourth Proportional to 145,891.86, 201,397.99 and 102,906.37

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Solution

The fourth proportional to 145,891.86, 201,397.99 and 102,906.37 is: 142,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,891.86 : 201,397.99 = 102,906.37 : x
  2. Step 2: Convert to fraction form
    145,891.86/201,397.99 = 102,906.37/x
  3. Step 3: Cross multiply
    145,891.86x = 201,397.99 × 102,906.37
  4. Step 4: Simplify right side
    145,891.86x = 20,725,136,076.20
  5. Step 5: Solve for x
    x = 20,725,136,076.20/145,891.86
  6. Step 6: Final answer
    x = 142,058.21

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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.