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Finding the Fourth Proportional to 209,574.81, 314,185.88 and 91,156.96

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Solution

The fourth proportional to 209,574.81, 314,185.88 and 91,156.96 is: 136,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,574.81 : 314,185.88 = 91,156.96 : x
  2. Step 2: Convert to fraction form
    209,574.81/314,185.88 = 91,156.96/x
  3. Step 3: Cross multiply
    209,574.81x = 314,185.88 × 91,156.96
  4. Step 4: Simplify right side
    209,574.81x = 28,640,229,695.72
  5. Step 5: Solve for x
    x = 28,640,229,695.72/209,574.81
  6. Step 6: Final answer
    x = 136,658.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.