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Finding the Fourth Proportional to 97,510.40, 146,265.60 and 68,019.20

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Solution

The fourth proportional to 97,510.40, 146,265.60 and 68,019.20 is: 102,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,510.40 : 146,265.60 = 68,019.20 : x
  2. Step 2: Convert to fraction form
    97,510.40/146,265.60 = 68,019.20/x
  3. Step 3: Cross multiply
    97,510.40x = 146,265.60 × 68,019.20
  4. Step 4: Simplify right side
    97,510.40x = 9,948,869,099.52
  5. Step 5: Solve for x
    x = 9,948,869,099.52/97,510.40
  6. Step 6: Final answer
    x = 102,028.80

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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.