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Finding the Fourth Proportional to 228,036.21, 314,689.77 and 137,396

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Solution

The fourth proportional to 228,036.21, 314,689.77 and 137,396 is: 189,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,036.21 : 314,689.77 = 137,396 : x
  2. Step 2: Convert to fraction form
    228,036.21/314,689.77 = 137,396/x
  3. Step 3: Cross multiply
    228,036.21x = 314,689.77 × 137,396
  4. Step 4: Simplify right side
    228,036.21x = 43,237,115,638.92
  5. Step 5: Solve for x
    x = 43,237,115,638.92/228,036.21
  6. Step 6: Final answer
    x = 189,606.36

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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.