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Finding the Fourth Proportional to 64,828.51, 89,462.87 and 36,543.31

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Solution

The fourth proportional to 64,828.51, 89,462.87 and 36,543.31 is: 50,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,828.51 : 89,462.87 = 36,543.31 : x
  2. Step 2: Convert to fraction form
    64,828.51/89,462.87 = 36,543.31/x
  3. Step 3: Cross multiply
    64,828.51x = 89,462.87 × 36,543.31
  4. Step 4: Simplify right side
    64,828.51x = 3,269,269,209.18
  5. Step 5: Solve for x
    x = 3,269,269,209.18/64,828.51
  6. Step 6: Final answer
    x = 50,429.50

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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.