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Finding the Fourth Proportional to 141,094.56, 194,712.84 and 77,438.28

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Solution

The fourth proportional to 141,094.56, 194,712.84 and 77,438.28 is: 106,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,094.56 : 194,712.84 = 77,438.28 : x
  2. Step 2: Convert to fraction form
    141,094.56/194,712.84 = 77,438.28/x
  3. Step 3: Cross multiply
    141,094.56x = 194,712.84 × 77,438.28
  4. Step 4: Simplify right side
    141,094.56x = 15,078,227,423.52
  5. Step 5: Solve for x
    x = 15,078,227,423.52/141,094.56
  6. Step 6: Final answer
    x = 106,866.11

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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.