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Finding the Fourth Proportional to 181,970.89, 251,121.47 and 100,294.64

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Solution

The fourth proportional to 181,970.89, 251,121.47 and 100,294.64 is: 138,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,970.89 : 251,121.47 = 100,294.64 : x
  2. Step 2: Convert to fraction form
    181,970.89/251,121.47 = 100,294.64/x
  3. Step 3: Cross multiply
    181,970.89x = 251,121.47 × 100,294.64
  4. Step 4: Simplify right side
    181,970.89x = 25,186,136,614.55
  5. Step 5: Solve for x
    x = 25,186,136,614.55/181,970.89
  6. Step 6: Final answer
    x = 138,407.51

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1.5x scale

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.