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Finding the Fourth Proportional to 216,898.64, 299,506.92 and 136,460.24

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Solution

The fourth proportional to 216,898.64, 299,506.92 and 136,460.24 is: 188,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,898.64 : 299,506.92 = 136,460.24 : x
  2. Step 2: Convert to fraction form
    216,898.64/299,506.92 = 136,460.24/x
  3. Step 3: Cross multiply
    216,898.64x = 299,506.92 × 136,460.24
  4. Step 4: Simplify right side
    216,898.64x = 40,870,786,184.86
  5. Step 5: Solve for x
    x = 40,870,786,184.86/216,898.64
  6. Step 6: Final answer
    x = 188,432.65

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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.