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Finding the Fourth Proportional to 101,835.16, 140,542.89 and 56,513.45

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Solution

The fourth proportional to 101,835.16, 140,542.89 and 56,513.45 is: 77,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,835.16 : 140,542.89 = 56,513.45 : x
  2. Step 2: Convert to fraction form
    101,835.16/140,542.89 = 56,513.45/x
  3. Step 3: Cross multiply
    101,835.16x = 140,542.89 × 56,513.45
  4. Step 4: Simplify right side
    101,835.16x = 7,942,563,586.87
  5. Step 5: Solve for x
    x = 7,942,563,586.87/101,835.16
  6. Step 6: Final answer
    x = 77,994.32

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