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Finding the Fourth Proportional to 78,235.04, 107,936.06 and 51,392

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Solution

The fourth proportional to 78,235.04, 107,936.06 and 51,392 is: 70,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,235.04 : 107,936.06 = 51,392 : x
  2. Step 2: Convert to fraction form
    78,235.04/107,936.06 = 51,392/x
  3. Step 3: Cross multiply
    78,235.04x = 107,936.06 × 51,392
  4. Step 4: Simplify right side
    78,235.04x = 5,547,049,995.52
  5. Step 5: Solve for x
    x = 5,547,049,995.52/78,235.04
  6. Step 6: Final answer
    x = 70,902.37

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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.