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Finding the Fourth Proportional to 206,113.17, 309,199.09 and 63,970.72

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Solution

The fourth proportional to 206,113.17, 309,199.09 and 63,970.72 is: 95,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,113.17 : 309,199.09 = 63,970.72 : x
  2. Step 2: Convert to fraction form
    206,113.17/309,199.09 = 63,970.72/x
  3. Step 3: Cross multiply
    206,113.17x = 309,199.09 × 63,970.72
  4. Step 4: Simplify right side
    206,113.17x = 19,779,688,877.11
  5. Step 5: Solve for x
    x = 19,779,688,877.11/206,113.17
  6. Step 6: Final answer
    x = 95,965.19

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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.