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Finding the Fourth Proportional to 227,863, 314,477.66 and 137,264.70

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Solution

The fourth proportional to 227,863, 314,477.66 and 137,264.70 is: 189,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,863 : 314,477.66 = 137,264.70 : x
  2. Step 2: Convert to fraction form
    227,863/314,477.66 = 137,264.70/x
  3. Step 3: Cross multiply
    227,863x = 314,477.66 × 137,264.70
  4. Step 4: Simplify right side
    227,863x = 43,166,681,656.60
  5. Step 5: Solve for x
    x = 43,166,681,656.60/227,863
  6. Step 6: Final answer
    x = 189,441.38

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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.