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Finding the Fourth Proportional to 255,986.64, 384,034.50 and 98,213.76

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Solution

The fourth proportional to 255,986.64, 384,034.50 and 98,213.76 is: 147,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,986.64 : 384,034.50 = 98,213.76 : x
  2. Step 2: Convert to fraction form
    255,986.64/384,034.50 = 98,213.76/x
  3. Step 3: Cross multiply
    255,986.64x = 384,034.50 × 98,213.76
  4. Step 4: Simplify right side
    255,986.64x = 37,717,472,214.72
  5. Step 5: Solve for x
    x = 37,717,472,214.72/255,986.64
  6. Step 6: Final answer
    x = 147,341.57

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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.