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Finding the Fourth Proportional to 223,386.50, 308,273.37 and 122,784.50

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Solution

The fourth proportional to 223,386.50, 308,273.37 and 122,784.50 is: 169,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,386.50 : 308,273.37 = 122,784.50 : x
  2. Step 2: Convert to fraction form
    223,386.50/308,273.37 = 122,784.50/x
  3. Step 3: Cross multiply
    223,386.50x = 308,273.37 × 122,784.50
  4. Step 4: Simplify right side
    223,386.50x = 37,851,191,598.77
  5. Step 5: Solve for x
    x = 37,851,191,598.77/223,386.50
  6. Step 6: Final answer
    x = 169,442.61

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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.