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Finding the Fourth Proportional to 209,160, 288,642.66 and 113,666.70

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Solution

The fourth proportional to 209,160, 288,642.66 and 113,666.70 is: 156,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,160 : 288,642.66 = 113,666.70 : x
  2. Step 2: Convert to fraction form
    209,160/288,642.66 = 113,666.70/x
  3. Step 3: Cross multiply
    209,160x = 288,642.66 × 113,666.70
  4. Step 4: Simplify right side
    209,160x = 32,809,058,641.42
  5. Step 5: Solve for x
    x = 32,809,058,641.42/209,160
  6. Step 6: Final answer
    x = 156,861.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.