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Finding the Fourth Proportional to 229,113.81, 316,178.78 and 127,139.67

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Solution

The fourth proportional to 229,113.81, 316,178.78 and 127,139.67 is: 175,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,113.81 : 316,178.78 = 127,139.67 : x
  2. Step 2: Convert to fraction form
    229,113.81/316,178.78 = 127,139.67/x
  3. Step 3: Cross multiply
    229,113.81x = 316,178.78 × 127,139.67
  4. Step 4: Simplify right side
    229,113.81x = 40,198,865,114.50
  5. Step 5: Solve for x
    x = 40,198,865,114.50/229,113.81
  6. Step 6: Final answer
    x = 175,453.70

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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.