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Finding the Fourth Proportional to 257,671.53, 386,617.44 and 133,100.01

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Solution

The fourth proportional to 257,671.53, 386,617.44 and 133,100.01 is: 199,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,671.53 : 386,617.44 = 133,100.01 : x
  2. Step 2: Convert to fraction form
    257,671.53/386,617.44 = 133,100.01/x
  3. Step 3: Cross multiply
    257,671.53x = 386,617.44 × 133,100.01
  4. Step 4: Simplify right side
    257,671.53x = 51,458,785,130.17
  5. Step 5: Solve for x
    x = 51,458,785,130.17/257,671.53
  6. Step 6: Final answer
    x = 199,706.91

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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.