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Finding the Fourth Proportional to 231,873.78, 319,970.44 and 128,501.04

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Solution

The fourth proportional to 231,873.78, 319,970.44 and 128,501.04 is: 177,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,873.78 : 319,970.44 = 128,501.04 : x
  2. Step 2: Convert to fraction form
    231,873.78/319,970.44 = 128,501.04/x
  3. Step 3: Cross multiply
    231,873.78x = 319,970.44 × 128,501.04
  4. Step 4: Simplify right side
    231,873.78x = 41,116,534,309.26
  5. Step 5: Solve for x
    x = 41,116,534,309.26/231,873.78
  6. Step 6: Final answer
    x = 177,322.91

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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.