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Finding the Fourth Proportional to 206,641.70, 310,156.59 and 101,536.10

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Solution

The fourth proportional to 206,641.70, 310,156.59 and 101,536.10 is: 152,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,641.70 : 310,156.59 = 101,536.10 : x
  2. Step 2: Convert to fraction form
    206,641.70/310,156.59 = 101,536.10/x
  3. Step 3: Cross multiply
    206,641.70x = 310,156.59 × 101,536.10
  4. Step 4: Simplify right side
    206,641.70x = 31,492,090,537.90
  5. Step 5: Solve for x
    x = 31,492,090,537.90/206,641.70
  6. Step 6: Final answer
    x = 152,399.49

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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.