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Finding the Fourth Proportional to 223,551.74, 308,345.24 and 151,807.20

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Solution

The fourth proportional to 223,551.74, 308,345.24 and 151,807.20 is: 209,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,551.74 : 308,345.24 = 151,807.20 : x
  2. Step 2: Convert to fraction form
    223,551.74/308,345.24 = 151,807.20/x
  3. Step 3: Cross multiply
    223,551.74x = 308,345.24 × 151,807.20
  4. Step 4: Simplify right side
    223,551.74x = 46,809,026,758.69
  5. Step 5: Solve for x
    x = 46,809,026,758.69/223,551.74
  6. Step 6: Final answer
    x = 209,387.89

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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.