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Finding the Fourth Proportional to 134,391.78, 185,468.30 and 77,040.64

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Solution

The fourth proportional to 134,391.78, 185,468.30 and 77,040.64 is: 106,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,391.78 : 185,468.30 = 77,040.64 : x
  2. Step 2: Convert to fraction form
    134,391.78/185,468.30 = 77,040.64/x
  3. Step 3: Cross multiply
    134,391.78x = 185,468.30 × 77,040.64
  4. Step 4: Simplify right side
    134,391.78x = 14,288,596,531.71
  5. Step 5: Solve for x
    x = 14,288,596,531.71/134,391.78
  6. Step 6: Final answer
    x = 106,320.46

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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.