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Finding the Fourth Proportional to 103,817.80, 155,737.56 and 47,648.32

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Solution

The fourth proportional to 103,817.80, 155,737.56 and 47,648.32 is: 71,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,817.80 : 155,737.56 = 47,648.32 : x
  2. Step 2: Convert to fraction form
    103,817.80/155,737.56 = 47,648.32/x
  3. Step 3: Cross multiply
    103,817.80x = 155,737.56 × 47,648.32
  4. Step 4: Simplify right side
    103,817.80x = 7,420,633,094.90
  5. Step 5: Solve for x
    x = 7,420,633,094.90/103,817.80
  6. Step 6: Final answer
    x = 71,477.46

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1.5x scale

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.