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Finding the Fourth Proportional to 101,346.56, 139,850.40 and 56,024

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Solution

The fourth proportional to 101,346.56, 139,850.40 and 56,024 is: 77,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346.56 : 139,850.40 = 56,024 : x
  2. Step 2: Convert to fraction form
    101,346.56/139,850.40 = 56,024/x
  3. Step 3: Cross multiply
    101,346.56x = 139,850.40 × 56,024
  4. Step 4: Simplify right side
    101,346.56x = 7,834,978,809.60
  5. Step 5: Solve for x
    x = 7,834,978,809.60/101,346.56
  6. Step 6: Final answer
    x = 77,308.78

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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.