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Finding the Fourth Proportional to 115,103.12, 158,866.76 and 77,355.48

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Solution

The fourth proportional to 115,103.12, 158,866.76 and 77,355.48 is: 106,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,103.12 : 158,866.76 = 77,355.48 : x
  2. Step 2: Convert to fraction form
    115,103.12/158,866.76 = 77,355.48/x
  3. Step 3: Cross multiply
    115,103.12x = 158,866.76 × 77,355.48
  4. Step 4: Simplify right side
    115,103.12x = 12,289,214,475.84
  5. Step 5: Solve for x
    x = 12,289,214,475.84/115,103.12
  6. Step 6: Final answer
    x = 106,767.00

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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.