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Finding the Fourth Proportional to 134,642.84, 185,807.13 and 78,087.02

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Solution

The fourth proportional to 134,642.84, 185,807.13 and 78,087.02 is: 107,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,642.84 : 185,807.13 = 78,087.02 : x
  2. Step 2: Convert to fraction form
    134,642.84/185,807.13 = 78,087.02/x
  3. Step 3: Cross multiply
    134,642.84x = 185,807.13 × 78,087.02
  4. Step 4: Simplify right side
    134,642.84x = 14,509,125,076.45
  5. Step 5: Solve for x
    x = 14,509,125,076.45/134,642.84
  6. Step 6: Final answer
    x = 107,760.09

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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.