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Finding the Fourth Proportional to 128,388.14, 177,172.32 and 71,025.98

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Solution

The fourth proportional to 128,388.14, 177,172.32 and 71,025.98 is: 98,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,388.14 : 177,172.32 = 71,025.98 : x
  2. Step 2: Convert to fraction form
    128,388.14/177,172.32 = 71,025.98/x
  3. Step 3: Cross multiply
    128,388.14x = 177,172.32 × 71,025.98
  4. Step 4: Simplify right side
    128,388.14x = 12,583,837,656.87
  5. Step 5: Solve for x
    x = 12,583,837,656.87/128,388.14
  6. Step 6: Final answer
    x = 98,014.02

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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.