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Finding the Fourth Proportional to 217,077.16, 325,222 and 160,291.64

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Solution

The fourth proportional to 217,077.16, 325,222 and 160,291.64 is: 240,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,077.16 : 325,222 = 160,291.64 : x
  2. Step 2: Convert to fraction form
    217,077.16/325,222 = 160,291.64/x
  3. Step 3: Cross multiply
    217,077.16x = 325,222 × 160,291.64
  4. Step 4: Simplify right side
    217,077.16x = 52,130,367,744.08
  5. Step 5: Solve for x
    x = 52,130,367,744.08/217,077.16
  6. Step 6: Final answer
    x = 240,146.72

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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.