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Finding the Fourth Proportional to 64,142.96, 96,129.63 and 46,432.80

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Solution

The fourth proportional to 64,142.96, 96,129.63 and 46,432.80 is: 69,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142.96 : 96,129.63 = 46,432.80 : x
  2. Step 2: Convert to fraction form
    64,142.96/96,129.63 = 46,432.80/x
  3. Step 3: Cross multiply
    64,142.96x = 96,129.63 × 46,432.80
  4. Step 4: Simplify right side
    64,142.96x = 4,463,567,883.86
  5. Step 5: Solve for x
    x = 4,463,567,883.86/64,142.96
  6. Step 6: Final answer
    x = 69,587.81

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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.