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Finding the Fourth Proportional to 37,145, 55,720.06 and 12,178.44

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Solution

The fourth proportional to 37,145, 55,720.06 and 12,178.44 is: 18,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,145 : 55,720.06 = 12,178.44 : x
  2. Step 2: Convert to fraction form
    37,145/55,720.06 = 12,178.44/x
  3. Step 3: Cross multiply
    37,145x = 55,720.06 × 12,178.44
  4. Step 4: Simplify right side
    37,145x = 678,583,407.51
  5. Step 5: Solve for x
    x = 678,583,407.51/37,145
  6. Step 6: Final answer
    x = 18,268.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.