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Finding the Fourth Proportional to 101,120, 139,549.92 and 56,408

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Solution

The fourth proportional to 101,120, 139,549.92 and 56,408 is: 77,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,120 : 139,549.92 = 56,408 : x
  2. Step 2: Convert to fraction form
    101,120/139,549.92 = 56,408/x
  3. Step 3: Cross multiply
    101,120x = 139,549.92 × 56,408
  4. Step 4: Simplify right side
    101,120x = 7,871,731,887.36
  5. Step 5: Solve for x
    x = 7,871,731,887.36/101,120
  6. Step 6: Final answer
    x = 77,845.45

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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.