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Finding the Fourth Proportional to 145,156.86, 217,714.16 and 45,293.82

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Solution

The fourth proportional to 145,156.86, 217,714.16 and 45,293.82 is: 67,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,156.86 : 217,714.16 = 45,293.82 : x
  2. Step 2: Convert to fraction form
    145,156.86/217,714.16 = 45,293.82/x
  3. Step 3: Cross multiply
    145,156.86x = 217,714.16 × 45,293.82
  4. Step 4: Simplify right side
    145,156.86x = 9,861,105,974.49
  5. Step 5: Solve for x
    x = 9,861,105,974.49/145,156.86
  6. Step 6: Final answer
    x = 67,934.14

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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.