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Finding the Fourth Proportional to 100,920.40, 151,161.90 and 83,424.40

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Solution

The fourth proportional to 100,920.40, 151,161.90 and 83,424.40 is: 124,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920.40 : 151,161.90 = 83,424.40 : x
  2. Step 2: Convert to fraction form
    100,920.40/151,161.90 = 83,424.40/x
  3. Step 3: Cross multiply
    100,920.40x = 151,161.90 × 83,424.40
  4. Step 4: Simplify right side
    100,920.40x = 12,610,590,810.36
  5. Step 5: Solve for x
    x = 12,610,590,810.36/100,920.40
  6. Step 6: Final answer
    x = 124,955.81

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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.