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Finding the Fourth Proportional to 151,833, 227,888.40 and 77,004.80

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Solution

The fourth proportional to 151,833, 227,888.40 and 77,004.80 is: 115,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,833 : 227,888.40 = 77,004.80 : x
  2. Step 2: Convert to fraction form
    151,833/227,888.40 = 77,004.80/x
  3. Step 3: Cross multiply
    151,833x = 227,888.40 × 77,004.80
  4. Step 4: Simplify right side
    151,833x = 17,548,500,664.32
  5. Step 5: Solve for x
    x = 17,548,500,664.32/151,833
  6. Step 6: Final answer
    x = 115,577.65

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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.