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Finding the Fourth Proportional to 64,965.40, 89,693.94 and 53,057.32

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Solution

The fourth proportional to 64,965.40, 89,693.94 and 53,057.32 is: 73,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965.40 : 89,693.94 = 53,057.32 : x
  2. Step 2: Convert to fraction form
    64,965.40/89,693.94 = 53,057.32/x
  3. Step 3: Cross multiply
    64,965.40x = 89,693.94 × 53,057.32
  4. Step 4: Simplify right side
    64,965.40x = 4,758,920,076.64
  5. Step 5: Solve for x
    x = 4,758,920,076.64/64,965.40
  6. Step 6: Final answer
    x = 73,253.15

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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.