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Finding the Fourth Proportional to 223,509.38, 308,443.32 and 121,534.76

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Solution

The fourth proportional to 223,509.38, 308,443.32 and 121,534.76 is: 167,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,509.38 : 308,443.32 = 121,534.76 : x
  2. Step 2: Convert to fraction form
    223,509.38/308,443.32 = 121,534.76/x
  3. Step 3: Cross multiply
    223,509.38x = 308,443.32 × 121,534.76
  4. Step 4: Simplify right side
    223,509.38x = 37,486,584,869.80
  5. Step 5: Solve for x
    x = 37,486,584,869.80/223,509.38
  6. Step 6: Final answer
    x = 167,718.17

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1.5x scale

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.