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Finding the Fourth Proportional to 97,687.40, 146,312.40 and 75,428.60

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Solution

The fourth proportional to 97,687.40, 146,312.40 and 75,428.60 is: 112,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,687.40 : 146,312.40 = 75,428.60 : x
  2. Step 2: Convert to fraction form
    97,687.40/146,312.40 = 75,428.60/x
  3. Step 3: Cross multiply
    97,687.40x = 146,312.40 × 75,428.60
  4. Step 4: Simplify right side
    97,687.40x = 11,036,139,494.64
  5. Step 5: Solve for x
    x = 11,036,139,494.64/97,687.40
  6. Step 6: Final answer
    x = 112,974.03

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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.