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Finding the Fourth Proportional to 105,745.76, 145,924.08 and 57,990.24

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Solution

The fourth proportional to 105,745.76, 145,924.08 and 57,990.24 is: 80,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.76 : 145,924.08 = 57,990.24 : x
  2. Step 2: Convert to fraction form
    105,745.76/145,924.08 = 57,990.24/x
  3. Step 3: Cross multiply
    105,745.76x = 145,924.08 × 57,990.24
  4. Step 4: Simplify right side
    105,745.76x = 8,462,172,420.98
  5. Step 5: Solve for x
    x = 8,462,172,420.98/105,745.76
  6. Step 6: Final answer
    x = 80,023.75

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1.5x scale

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.