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Finding the Fourth Proportional to 134,376.85, 185,447.71 and 77,025.71

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Solution

The fourth proportional to 134,376.85, 185,447.71 and 77,025.71 is: 106,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,376.85 : 185,447.71 = 77,025.71 : x
  2. Step 2: Convert to fraction form
    134,376.85/185,447.71 = 77,025.71/x
  3. Step 3: Cross multiply
    134,376.85x = 185,447.71 × 77,025.71
  4. Step 4: Simplify right side
    134,376.85x = 14,284,242,090.53
  5. Step 5: Solve for x
    x = 14,284,242,090.53/134,376.85
  6. Step 6: Final answer
    x = 106,299.87

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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.