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Finding the Fourth Proportional to 102,936, 142,050.30 and 57,614.06

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Solution

The fourth proportional to 102,936, 142,050.30 and 57,614.06 is: 79,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936 : 142,050.30 = 57,614.06 : x
  2. Step 2: Convert to fraction form
    102,936/142,050.30 = 57,614.06/x
  3. Step 3: Cross multiply
    102,936x = 142,050.30 × 57,614.06
  4. Step 4: Simplify right side
    102,936x = 8,184,094,507.22
  5. Step 5: Solve for x
    x = 8,184,094,507.22/102,936
  6. Step 6: Final answer
    x = 79,506.63

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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.