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Finding the Fourth Proportional to 145,298.66, 217,931.54 and 50,512.86

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Solution

The fourth proportional to 145,298.66, 217,931.54 and 50,512.86 is: 75,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,298.66 : 217,931.54 = 50,512.86 : x
  2. Step 2: Convert to fraction form
    145,298.66/217,931.54 = 50,512.86/x
  3. Step 3: Cross multiply
    145,298.66x = 217,931.54 × 50,512.86
  4. Step 4: Simplify right side
    145,298.66x = 11,008,345,117.04
  5. Step 5: Solve for x
    x = 11,008,345,117.04/145,298.66
  6. Step 6: Final answer
    x = 75,763.57

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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.