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Finding the Fourth Proportional to 209,558.79, 314,335.11 and 51,787.24

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Solution

The fourth proportional to 209,558.79, 314,335.11 and 51,787.24 is: 77,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,558.79 : 314,335.11 = 51,787.24 : x
  2. Step 2: Convert to fraction form
    209,558.79/314,335.11 = 51,787.24/x
  3. Step 3: Cross multiply
    209,558.79x = 314,335.11 × 51,787.24
  4. Step 4: Simplify right side
    209,558.79x = 16,278,547,782.00
  5. Step 5: Solve for x
    x = 16,278,547,782.00/209,558.79
  6. Step 6: Final answer
    x = 77,680.10

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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.