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Finding the Fourth Proportional to 229,538.59, 316,920.93 and 143,534.81

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Solution

The fourth proportional to 229,538.59, 316,920.93 and 143,534.81 is: 198,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,538.59 : 316,920.93 = 143,534.81 : x
  2. Step 2: Convert to fraction form
    229,538.59/316,920.93 = 143,534.81/x
  3. Step 3: Cross multiply
    229,538.59x = 316,920.93 × 143,534.81
  4. Step 4: Simplify right side
    229,538.59x = 45,489,185,472.57
  5. Step 5: Solve for x
    x = 45,489,185,472.57/229,538.59
  6. Step 6: Final answer
    x = 198,176.64

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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.