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Finding the Fourth Proportional to 151,764, 227,645.64 and 51,925.20

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Solution

The fourth proportional to 151,764, 227,645.64 and 51,925.20 is: 77,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,764 : 227,645.64 = 51,925.20 : x
  2. Step 2: Convert to fraction form
    151,764/227,645.64 = 51,925.20/x
  3. Step 3: Cross multiply
    151,764x = 227,645.64 × 51,925.20
  4. Step 4: Simplify right side
    151,764x = 11,820,545,386.13
  5. Step 5: Solve for x
    x = 11,820,545,386.13/151,764
  6. Step 6: Final answer
    x = 77,887.68

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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.