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Finding the Fourth Proportional to 65,640.50, 90,547.41 and 43,015.98

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Solution

The fourth proportional to 65,640.50, 90,547.41 and 43,015.98 is: 59,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,640.50 : 90,547.41 = 43,015.98 : x
  2. Step 2: Convert to fraction form
    65,640.50/90,547.41 = 43,015.98/x
  3. Step 3: Cross multiply
    65,640.50x = 90,547.41 × 43,015.98
  4. Step 4: Simplify right side
    65,640.50x = 3,894,986,078.47
  5. Step 5: Solve for x
    x = 3,894,986,078.47/65,640.50
  6. Step 6: Final answer
    x = 59,338.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.