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Finding the Fourth Proportional to 64,005.12, 88,327.32 and 35,712

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Solution

The fourth proportional to 64,005.12, 88,327.32 and 35,712 is: 49,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005.12 : 88,327.32 = 35,712 : x
  2. Step 2: Convert to fraction form
    64,005.12/88,327.32 = 35,712/x
  3. Step 3: Cross multiply
    64,005.12x = 88,327.32 × 35,712
  4. Step 4: Simplify right side
    64,005.12x = 3,154,345,251.84
  5. Step 5: Solve for x
    x = 3,154,345,251.84/64,005.12
  6. Step 6: Final answer
    x = 49,282.70

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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.