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Finding the Fourth Proportional to 206,953.20, 310,483.80 and 66,715.20

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Solution

The fourth proportional to 206,953.20, 310,483.80 and 66,715.20 is: 100,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,953.20 : 310,483.80 = 66,715.20 : x
  2. Step 2: Convert to fraction form
    206,953.20/310,483.80 = 66,715.20/x
  3. Step 3: Cross multiply
    206,953.20x = 310,483.80 × 66,715.20
  4. Step 4: Simplify right side
    206,953.20x = 20,713,988,813.76
  5. Step 5: Solve for x
    x = 20,713,988,813.76/206,953.20
  6. Step 6: Final answer
    x = 100,090.21

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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.