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Finding the Fourth Proportional to 64,644.60, 89,220.16 and 37,781.86

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Solution

The fourth proportional to 64,644.60, 89,220.16 and 37,781.86 is: 52,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,644.60 : 89,220.16 = 37,781.86 : x
  2. Step 2: Convert to fraction form
    64,644.60/89,220.16 = 37,781.86/x
  3. Step 3: Cross multiply
    64,644.60x = 89,220.16 × 37,781.86
  4. Step 4: Simplify right side
    64,644.60x = 3,370,903,276.79
  5. Step 5: Solve for x
    x = 3,370,903,276.79/64,644.60
  6. Step 6: Final answer
    x = 52,145.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.