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Finding the Fourth Proportional to 103,963.40, 155,999.10 and 48,559.40

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Solution

The fourth proportional to 103,963.40, 155,999.10 and 48,559.40 is: 72,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.40 : 155,999.10 = 48,559.40 : x
  2. Step 2: Convert to fraction form
    103,963.40/155,999.10 = 48,559.40/x
  3. Step 3: Cross multiply
    103,963.40x = 155,999.10 × 48,559.40
  4. Step 4: Simplify right side
    103,963.40x = 7,575,222,696.54
  5. Step 5: Solve for x
    x = 7,575,222,696.54/103,963.40
  6. Step 6: Final answer
    x = 72,864.32

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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.