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Finding the Fourth Proportional to 209,896.32, 314,760.96 and 76,746.24

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Solution

The fourth proportional to 209,896.32, 314,760.96 and 76,746.24 is: 115,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,896.32 : 314,760.96 = 76,746.24 : x
  2. Step 2: Convert to fraction form
    209,896.32/314,760.96 = 76,746.24/x
  3. Step 3: Cross multiply
    209,896.32x = 314,760.96 × 76,746.24
  4. Step 4: Simplify right side
    209,896.32x = 24,156,720,178.79
  5. Step 5: Solve for x
    x = 24,156,720,178.79/209,896.32
  6. Step 6: Final answer
    x = 115,088.82

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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.