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Finding the Fourth Proportional to 223,386, 308,272.68 and 122,784

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Solution

The fourth proportional to 223,386, 308,272.68 and 122,784 is: 169,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,386 : 308,272.68 = 122,784 : x
  2. Step 2: Convert to fraction form
    223,386/308,272.68 = 122,784/x
  3. Step 3: Cross multiply
    223,386x = 308,272.68 × 122,784
  4. Step 4: Simplify right side
    223,386x = 37,850,952,741.12
  5. Step 5: Solve for x
    x = 37,850,952,741.12/223,386
  6. Step 6: Final answer
    x = 169,441.92

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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.