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Finding the Fourth Proportional to 115,314.94, 159,208.74 and 72,353.40

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Solution

The fourth proportional to 115,314.94, 159,208.74 and 72,353.40 is: 99,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,314.94 : 159,208.74 = 72,353.40 : x
  2. Step 2: Convert to fraction form
    115,314.94/159,208.74 = 72,353.40/x
  3. Step 3: Cross multiply
    115,314.94x = 159,208.74 × 72,353.40
  4. Step 4: Simplify right side
    115,314.94x = 11,519,293,947.23
  5. Step 5: Solve for x
    x = 11,519,293,947.23/115,314.94
  6. Step 6: Final answer
    x = 99,894.20

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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.