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Finding the Fourth Proportional to 227,785.36, 314,345.28 and 125,808

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Solution

The fourth proportional to 227,785.36, 314,345.28 and 125,808 is: 173,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,785.36 : 314,345.28 = 125,808 : x
  2. Step 2: Convert to fraction form
    227,785.36/314,345.28 = 125,808/x
  3. Step 3: Cross multiply
    227,785.36x = 314,345.28 × 125,808
  4. Step 4: Simplify right side
    227,785.36x = 39,547,150,986.24
  5. Step 5: Solve for x
    x = 39,547,150,986.24/227,785.36
  6. Step 6: Final answer
    x = 173,615.86

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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.