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Finding the Fourth Proportional to 170,428.80, 255,643.20 and 96,700.80

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Solution

The fourth proportional to 170,428.80, 255,643.20 and 96,700.80 is: 145,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,428.80 : 255,643.20 = 96,700.80 : x
  2. Step 2: Convert to fraction form
    170,428.80/255,643.20 = 96,700.80/x
  3. Step 3: Cross multiply
    170,428.80x = 255,643.20 × 96,700.80
  4. Step 4: Simplify right side
    170,428.80x = 24,720,901,954.56
  5. Step 5: Solve for x
    x = 24,720,901,954.56/170,428.80
  6. Step 6: Final answer
    x = 145,051.20

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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.