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Finding the Fourth Proportional to 229,074.93, 316,140.72 and 127,119.69

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Solution

The fourth proportional to 229,074.93, 316,140.72 and 127,119.69 is: 175,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,074.93 : 316,140.72 = 127,119.69 : x
  2. Step 2: Convert to fraction form
    229,074.93/316,140.72 = 127,119.69/x
  3. Step 3: Cross multiply
    229,074.93x = 316,140.72 × 127,119.69
  4. Step 4: Simplify right side
    229,074.93x = 40,187,710,322.78
  5. Step 5: Solve for x
    x = 40,187,710,322.78/229,074.93
  6. Step 6: Final answer
    x = 175,434.78

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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.