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Finding the Fourth Proportional to 70,402, 97,130.84 and 40,165.60

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Solution

The fourth proportional to 70,402, 97,130.84 and 40,165.60 is: 55,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402 : 97,130.84 = 40,165.60 : x
  2. Step 2: Convert to fraction form
    70,402/97,130.84 = 40,165.60/x
  3. Step 3: Cross multiply
    70,402x = 97,130.84 × 40,165.60
  4. Step 4: Simplify right side
    70,402x = 3,901,318,467.10
  5. Step 5: Solve for x
    x = 3,901,318,467.10/70,402
  6. Step 6: Final answer
    x = 55,414.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.