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Finding the Fourth Proportional to 64,000, 88,320 and 35,705.68

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Solution

The fourth proportional to 64,000, 88,320 and 35,705.68 is: 49,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000 : 88,320 = 35,705.68 : x
  2. Step 2: Convert to fraction form
    64,000/88,320 = 35,705.68/x
  3. Step 3: Cross multiply
    64,000x = 88,320 × 35,705.68
  4. Step 4: Simplify right side
    64,000x = 3,153,525,657.60
  5. Step 5: Solve for x
    x = 3,153,525,657.60/64,000
  6. Step 6: Final answer
    x = 49,273.84

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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.