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Finding the Fourth Proportional to 64,698.48, 96,978.16 and 31,344.91

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Solution

The fourth proportional to 64,698.48, 96,978.16 and 31,344.91 is: 46,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,698.48 : 96,978.16 = 31,344.91 : x
  2. Step 2: Convert to fraction form
    64,698.48/96,978.16 = 31,344.91/x
  3. Step 3: Cross multiply
    64,698.48x = 96,978.16 × 31,344.91
  4. Step 4: Simplify right side
    64,698.48x = 3,039,771,493.90
  5. Step 5: Solve for x
    x = 3,039,771,493.90/64,698.48
  6. Step 6: Final answer
    x = 46,983.66

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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.