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Finding the Fourth Proportional to 231,980.52, 320,117.96 and 136,468.76

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Solution

The fourth proportional to 231,980.52, 320,117.96 and 136,468.76 is: 188,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,980.52 : 320,117.96 = 136,468.76 : x
  2. Step 2: Convert to fraction form
    231,980.52/320,117.96 = 136,468.76/x
  3. Step 3: Cross multiply
    231,980.52x = 320,117.96 × 136,468.76
  4. Step 4: Simplify right side
    231,980.52x = 43,686,101,054.93
  5. Step 5: Solve for x
    x = 43,686,101,054.93/231,980.52
  6. Step 6: Final answer
    x = 188,317.97

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1.5x scale

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.