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Finding the Fourth Proportional to 65,114.60, 89,703.78 and 53,709.80

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Solution

The fourth proportional to 65,114.60, 89,703.78 and 53,709.80 is: 73,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.60 : 89,703.78 = 53,709.80 : x
  2. Step 2: Convert to fraction form
    65,114.60/89,703.78 = 53,709.80/x
  3. Step 3: Cross multiply
    65,114.60x = 89,703.78 × 53,709.80
  4. Step 4: Simplify right side
    65,114.60x = 4,817,972,083.04
  5. Step 5: Solve for x
    x = 4,817,972,083.04/65,114.60
  6. Step 6: Final answer
    x = 73,992.19

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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.