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Finding the Fourth Proportional to 134,598.66, 185,752.41 and 78,027.78

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Solution

The fourth proportional to 134,598.66, 185,752.41 and 78,027.78 is: 107,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,598.66 : 185,752.41 = 78,027.78 : x
  2. Step 2: Convert to fraction form
    134,598.66/185,752.41 = 78,027.78/x
  3. Step 3: Cross multiply
    134,598.66x = 185,752.41 × 78,027.78
  4. Step 4: Simplify right side
    134,598.66x = 14,493,848,181.95
  5. Step 5: Solve for x
    x = 14,493,848,181.95/134,598.66
  6. Step 6: Final answer
    x = 107,681.96

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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.