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Finding the Fourth Proportional to 229,684.74, 316,891.80 and 139,011.72

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Solution

The fourth proportional to 229,684.74, 316,891.80 and 139,011.72 is: 191,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,684.74 : 316,891.80 = 139,011.72 : x
  2. Step 2: Convert to fraction form
    229,684.74/316,891.80 = 139,011.72/x
  3. Step 3: Cross multiply
    229,684.74x = 316,891.80 × 139,011.72
  4. Step 4: Simplify right side
    229,684.74x = 44,051,674,171.90
  5. Step 5: Solve for x
    x = 44,051,674,171.90/229,684.74
  6. Step 6: Final answer
    x = 191,791.91

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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.