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Finding the Fourth Proportional to 115,205.49, 158,977.49 and 64,901.25

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Solution

The fourth proportional to 115,205.49, 158,977.49 and 64,901.25 is: 89,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,205.49 : 158,977.49 = 64,901.25 : x
  2. Step 2: Convert to fraction form
    115,205.49/158,977.49 = 64,901.25/x
  3. Step 3: Cross multiply
    115,205.49x = 158,977.49 × 64,901.25
  4. Step 4: Simplify right side
    115,205.49x = 10,317,837,498.36
  5. Step 5: Solve for x
    x = 10,317,837,498.36/115,205.49
  6. Step 6: Final answer
    x = 89,560.29

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1.5x scale

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.