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Finding the Fourth Proportional to 103,697.60, 155,629.44 and 47,564.15

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Solution

The fourth proportional to 103,697.60, 155,629.44 and 47,564.15 is: 71,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697.60 : 155,629.44 = 47,564.15 : x
  2. Step 2: Convert to fraction form
    103,697.60/155,629.44 = 47,564.15/x
  3. Step 3: Cross multiply
    103,697.60x = 155,629.44 × 47,564.15
  4. Step 4: Simplify right side
    103,697.60x = 7,402,381,250.43
  5. Step 5: Solve for x
    x = 7,402,381,250.43/103,697.60
  6. Step 6: Final answer
    x = 71,384.31

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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.