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Finding the Fourth Proportional to 97,712.50, 146,531.39 and 53,315.52

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Solution

The fourth proportional to 97,712.50, 146,531.39 and 53,315.52 is: 79,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712.50 : 146,531.39 = 53,315.52 : x
  2. Step 2: Convert to fraction form
    97,712.50/146,531.39 = 53,315.52/x
  3. Step 3: Cross multiply
    97,712.50x = 146,531.39 × 53,315.52
  4. Step 4: Simplify right side
    97,712.50x = 7,812,396,987.60
  5. Step 5: Solve for x
    x = 7,812,396,987.60/97,712.50
  6. Step 6: Final answer
    x = 79,952.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.