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Finding the Fourth Proportional to 106,535.20, 159,802.80 and 99,623.20

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Solution

The fourth proportional to 106,535.20, 159,802.80 and 99,623.20 is: 149,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,535.20 : 159,802.80 = 99,623.20 : x
  2. Step 2: Convert to fraction form
    106,535.20/159,802.80 = 99,623.20/x
  3. Step 3: Cross multiply
    106,535.20x = 159,802.80 × 99,623.20
  4. Step 4: Simplify right side
    106,535.20x = 15,920,066,304.96
  5. Step 5: Solve for x
    x = 15,920,066,304.96/106,535.20
  6. Step 6: Final answer
    x = 149,434.80

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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.