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Finding the Fourth Proportional to 233,138.92, 321,864.42 and 153,881.32

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Solution

The fourth proportional to 233,138.92, 321,864.42 and 153,881.32 is: 212,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,138.92 : 321,864.42 = 153,881.32 : x
  2. Step 2: Convert to fraction form
    233,138.92/321,864.42 = 153,881.32/x
  3. Step 3: Cross multiply
    233,138.92x = 321,864.42 × 153,881.32
  4. Step 4: Simplify right side
    233,138.92x = 49,528,921,810.63
  5. Step 5: Solve for x
    x = 49,528,921,810.63/233,138.92
  6. Step 6: Final answer
    x = 212,443.82

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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.