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Finding the Fourth Proportional to 97,468.40, 146,129.70 and 53,145.20

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Solution

The fourth proportional to 97,468.40, 146,129.70 and 53,145.20 is: 79,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468.40 : 146,129.70 = 53,145.20 : x
  2. Step 2: Convert to fraction form
    97,468.40/146,129.70 = 53,145.20/x
  3. Step 3: Cross multiply
    97,468.40x = 146,129.70 × 53,145.20
  4. Step 4: Simplify right side
    97,468.40x = 7,766,092,132.44
  5. Step 5: Solve for x
    x = 7,766,092,132.44/97,468.40
  6. Step 6: Final answer
    x = 79,678.05

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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.