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Finding the Fourth Proportional to 70,833.60, 106,256.80 and 18,243.20

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Solution

The fourth proportional to 70,833.60, 106,256.80 and 18,243.20 is: 27,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,833.60 : 106,256.80 = 18,243.20 : x
  2. Step 2: Convert to fraction form
    70,833.60/106,256.80 = 18,243.20/x
  3. Step 3: Cross multiply
    70,833.60x = 106,256.80 × 18,243.20
  4. Step 4: Simplify right side
    70,833.60x = 1,938,464,053.76
  5. Step 5: Solve for x
    x = 1,938,464,053.76/70,833.60
  6. Step 6: Final answer
    x = 27,366.45

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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.