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Finding the Fourth Proportional to 199,710.10, 299,635.12 and 124,742.47

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Solution

The fourth proportional to 199,710.10, 299,635.12 and 124,742.47 is: 187,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,710.10 : 299,635.12 = 124,742.47 : x
  2. Step 2: Convert to fraction form
    199,710.10/299,635.12 = 124,742.47/x
  3. Step 3: Cross multiply
    199,710.10x = 299,635.12 × 124,742.47
  4. Step 4: Simplify right side
    199,710.10x = 37,377,224,967.55
  5. Step 5: Solve for x
    x = 37,377,224,967.55/199,710.10
  6. Step 6: Final answer
    x = 187,157.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.