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Finding the Fourth Proportional to 97,941.20, 146,911.80 and 42,645.20

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Solution

The fourth proportional to 97,941.20, 146,911.80 and 42,645.20 is: 63,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,941.20 : 146,911.80 = 42,645.20 : x
  2. Step 2: Convert to fraction form
    97,941.20/146,911.80 = 42,645.20/x
  3. Step 3: Cross multiply
    97,941.20x = 146,911.80 × 42,645.20
  4. Step 4: Simplify right side
    97,941.20x = 6,265,083,093.36
  5. Step 5: Solve for x
    x = 6,265,083,093.36/97,941.20
  6. Step 6: Final answer
    x = 63,967.80

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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.