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Finding the Fourth Proportional to 145,577.76, 217,914.64 and 78,852.16

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Solution

The fourth proportional to 145,577.76, 217,914.64 and 78,852.16 is: 118,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,577.76 : 217,914.64 = 78,852.16 : x
  2. Step 2: Convert to fraction form
    145,577.76/217,914.64 = 78,852.16/x
  3. Step 3: Cross multiply
    145,577.76x = 217,914.64 × 78,852.16
  4. Step 4: Simplify right side
    145,577.76x = 17,183,040,059.62
  5. Step 5: Solve for x
    x = 17,183,040,059.62/145,577.76
  6. Step 6: Final answer
    x = 118,033.41

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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.