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Finding the Fourth Proportional to 103,772.80, 155,659.20 and 77,660.80

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Solution

The fourth proportional to 103,772.80, 155,659.20 and 77,660.80 is: 116,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,772.80 : 155,659.20 = 77,660.80 : x
  2. Step 2: Convert to fraction form
    103,772.80/155,659.20 = 77,660.80/x
  3. Step 3: Cross multiply
    103,772.80x = 155,659.20 × 77,660.80
  4. Step 4: Simplify right side
    103,772.80x = 12,088,617,999.36
  5. Step 5: Solve for x
    x = 12,088,617,999.36/103,772.80
  6. Step 6: Final answer
    x = 116,491.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.