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Finding the Fourth Proportional to 64,138.25, 88,511.35 and 35,457.46

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Solution

The fourth proportional to 64,138.25, 88,511.35 and 35,457.46 is: 48,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138.25 : 88,511.35 = 35,457.46 : x
  2. Step 2: Convert to fraction form
    64,138.25/88,511.35 = 35,457.46/x
  3. Step 3: Cross multiply
    64,138.25x = 88,511.35 × 35,457.46
  4. Step 4: Simplify right side
    64,138.25x = 3,138,387,652.17
  5. Step 5: Solve for x
    x = 3,138,387,652.17/64,138.25
  6. Step 6: Final answer
    x = 48,931.61

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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.