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Finding the Fourth Proportional to 253,533.12, 349,879.80 and 138,809.76

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Solution

The fourth proportional to 253,533.12, 349,879.80 and 138,809.76 is: 191,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,533.12 : 349,879.80 = 138,809.76 : x
  2. Step 2: Convert to fraction form
    253,533.12/349,879.80 = 138,809.76/x
  3. Step 3: Cross multiply
    253,533.12x = 349,879.80 × 138,809.76
  4. Step 4: Simplify right side
    253,533.12x = 48,566,731,066.85
  5. Step 5: Solve for x
    x = 48,566,731,066.85/253,533.12
  6. Step 6: Final answer
    x = 191,559.71

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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.