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Finding the Fourth Proportional to 223,848.12, 308,901.06 and 123,239.64

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Solution

The fourth proportional to 223,848.12, 308,901.06 and 123,239.64 is: 170,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,848.12 : 308,901.06 = 123,239.64 : x
  2. Step 2: Convert to fraction form
    223,848.12/308,901.06 = 123,239.64/x
  3. Step 3: Cross multiply
    223,848.12x = 308,901.06 × 123,239.64
  4. Step 4: Simplify right side
    223,848.12x = 38,068,855,430.02
  5. Step 5: Solve for x
    x = 38,068,855,430.02/223,848.12
  6. Step 6: Final answer
    x = 170,065.56

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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.