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Finding the Fourth Proportional to 206,916.40, 310,345.80 and 66,689.20

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Solution

The fourth proportional to 206,916.40, 310,345.80 and 66,689.20 is: 100,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,916.40 : 310,345.80 = 66,689.20 : x
  2. Step 2: Convert to fraction form
    206,916.40/310,345.80 = 66,689.20/x
  3. Step 3: Cross multiply
    206,916.40x = 310,345.80 × 66,689.20
  4. Step 4: Simplify right side
    206,916.40x = 20,696,713,125.36
  5. Step 5: Solve for x
    x = 20,696,713,125.36/206,916.40
  6. Step 6: Final answer
    x = 100,024.52

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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.