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Finding the Fourth Proportional to 101,122.64, 139,549.22 and 56,410.64

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Solution

The fourth proportional to 101,122.64, 139,549.22 and 56,410.64 is: 77,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,122.64 : 139,549.22 = 56,410.64 : x
  2. Step 2: Convert to fraction form
    101,122.64/139,549.22 = 56,410.64/x
  3. Step 3: Cross multiply
    101,122.64x = 139,549.22 × 56,410.64
  4. Step 4: Simplify right side
    101,122.64x = 7,872,060,811.70
  5. Step 5: Solve for x
    x = 7,872,060,811.70/101,122.64
  6. Step 6: Final answer
    x = 77,846.67

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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.