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Finding the Fourth Proportional to 97,880.40, 146,820.60 and 51,147.60

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Solution

The fourth proportional to 97,880.40, 146,820.60 and 51,147.60 is: 76,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,880.40 : 146,820.60 = 51,147.60 : x
  2. Step 2: Convert to fraction form
    97,880.40/146,820.60 = 51,147.60/x
  3. Step 3: Cross multiply
    97,880.40x = 146,820.60 × 51,147.60
  4. Step 4: Simplify right side
    97,880.40x = 7,509,521,320.56
  5. Step 5: Solve for x
    x = 7,509,521,320.56/97,880.40
  6. Step 6: Final answer
    x = 76,721.40

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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.