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Finding the Fourth Proportional to 103,810.26, 155,726.32 and 47,640.80

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Solution

The fourth proportional to 103,810.26, 155,726.32 and 47,640.80 is: 71,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,810.26 : 155,726.32 = 47,640.80 : x
  2. Step 2: Convert to fraction form
    103,810.26/155,726.32 = 47,640.80/x
  3. Step 3: Cross multiply
    103,810.26x = 155,726.32 × 47,640.80
  4. Step 4: Simplify right side
    103,810.26x = 7,418,926,465.86
  5. Step 5: Solve for x
    x = 7,418,926,465.86/103,810.26
  6. Step 6: Final answer
    x = 71,466.22

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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.