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Finding the Fourth Proportional to 115,879.84, 159,903.12 and 92,064.16

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Solution

The fourth proportional to 115,879.84, 159,903.12 and 92,064.16 is: 127,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,879.84 : 159,903.12 = 92,064.16 : x
  2. Step 2: Convert to fraction form
    115,879.84/159,903.12 = 92,064.16/x
  3. Step 3: Cross multiply
    115,879.84x = 159,903.12 × 92,064.16
  4. Step 4: Simplify right side
    115,879.84x = 14,721,346,424.18
  5. Step 5: Solve for x
    x = 14,721,346,424.18/115,879.84
  6. Step 6: Final answer
    x = 127,039.75

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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.