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Finding the Fourth Proportional to 131,818, 181,909.48 and 72,202

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Solution

The fourth proportional to 131,818, 181,909.48 and 72,202 is: 99,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,818 : 181,909.48 = 72,202 : x
  2. Step 2: Convert to fraction form
    131,818/181,909.48 = 72,202/x
  3. Step 3: Cross multiply
    131,818x = 181,909.48 × 72,202
  4. Step 4: Simplify right side
    131,818x = 13,134,228,274.96
  5. Step 5: Solve for x
    x = 13,134,228,274.96/131,818
  6. Step 6: Final answer
    x = 99,639.11

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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.