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Finding the Fourth Proportional to 115,709.72, 159,677.34 and 65,407.64

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Solution

The fourth proportional to 115,709.72, 159,677.34 and 65,407.64 is: 90,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,709.72 : 159,677.34 = 65,407.64 : x
  2. Step 2: Convert to fraction form
    115,709.72/159,677.34 = 65,407.64/x
  3. Step 3: Cross multiply
    115,709.72x = 159,677.34 × 65,407.64
  4. Step 4: Simplify right side
    115,709.72x = 10,444,117,970.88
  5. Step 5: Solve for x
    x = 10,444,117,970.88/115,709.72
  6. Step 6: Final answer
    x = 90,261.37

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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.