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Finding the Fourth Proportional to 65,783.90, 98,519.19 and 42,017.81

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Solution

The fourth proportional to 65,783.90, 98,519.19 and 42,017.81 is: 62,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.90 : 98,519.19 = 42,017.81 : x
  2. Step 2: Convert to fraction form
    65,783.90/98,519.19 = 42,017.81/x
  3. Step 3: Cross multiply
    65,783.90x = 98,519.19 × 42,017.81
  4. Step 4: Simplify right side
    65,783.90x = 4,139,560,787.87
  5. Step 5: Solve for x
    x = 4,139,560,787.87/65,783.90
  6. Step 6: Final answer
    x = 62,926.66

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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.