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Finding the Fourth Proportional to 139,953.12, 209,970.54 and 45,181.08

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Solution

The fourth proportional to 139,953.12, 209,970.54 and 45,181.08 is: 67,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,953.12 : 209,970.54 = 45,181.08 : x
  2. Step 2: Convert to fraction form
    139,953.12/209,970.54 = 45,181.08/x
  3. Step 3: Cross multiply
    139,953.12x = 209,970.54 × 45,181.08
  4. Step 4: Simplify right side
    139,953.12x = 9,486,695,765.38
  5. Step 5: Solve for x
    x = 9,486,695,765.38/139,953.12
  6. Step 6: Final answer
    x = 67,784.81

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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.