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Finding the Fourth Proportional to 97,631.60, 146,123.40 and 70,901.60

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Solution

The fourth proportional to 97,631.60, 146,123.40 and 70,901.60 is: 106,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,631.60 : 146,123.40 = 70,901.60 : x
  2. Step 2: Convert to fraction form
    97,631.60/146,123.40 = 70,901.60/x
  3. Step 3: Cross multiply
    97,631.60x = 146,123.40 × 70,901.60
  4. Step 4: Simplify right side
    97,631.60x = 10,360,382,857.44
  5. Step 5: Solve for x
    x = 10,360,382,857.44/97,631.60
  6. Step 6: Final answer
    x = 106,117.11

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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.