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Finding the Fourth Proportional to 101,984.86, 152,924.76 and 45,776.78

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Solution

The fourth proportional to 101,984.86, 152,924.76 and 45,776.78 is: 68,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,984.86 : 152,924.76 = 45,776.78 : x
  2. Step 2: Convert to fraction form
    101,984.86/152,924.76 = 45,776.78/x
  3. Step 3: Cross multiply
    101,984.86x = 152,924.76 × 45,776.78
  4. Step 4: Simplify right side
    101,984.86x = 7,000,403,095.07
  5. Step 5: Solve for x
    x = 7,000,403,095.07/101,984.86
  6. Step 6: Final answer
    x = 68,641.59

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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.