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Finding the Fourth Proportional to 64,159.69, 96,256.14 and 19,785.46

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Solution

The fourth proportional to 64,159.69, 96,256.14 and 19,785.46 is: 29,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,159.69 : 96,256.14 = 19,785.46 : x
  2. Step 2: Convert to fraction form
    64,159.69/96,256.14 = 19,785.46/x
  3. Step 3: Cross multiply
    64,159.69x = 96,256.14 × 19,785.46
  4. Step 4: Simplify right side
    64,159.69x = 1,904,472,007.72
  5. Step 5: Solve for x
    x = 1,904,472,007.72/64,159.69
  6. Step 6: Final answer
    x = 29,683.31

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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.