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Finding the Fourth Proportional to 97,977.20, 146,987.40 and 31,420.40

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Solution

The fourth proportional to 97,977.20, 146,987.40 and 31,420.40 is: 47,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,977.20 : 146,987.40 = 31,420.40 : x
  2. Step 2: Convert to fraction form
    97,977.20/146,987.40 = 31,420.40/x
  3. Step 3: Cross multiply
    97,977.20x = 146,987.40 × 31,420.40
  4. Step 4: Simplify right side
    97,977.20x = 4,618,402,902.96
  5. Step 5: Solve for x
    x = 4,618,402,902.96/97,977.20
  6. Step 6: Final answer
    x = 47,137.53

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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.