Home / 78,106.78-117,165.64-31,359.66

Finding the Fourth Proportional to 78,106.78, 117,165.64 and 31,359.66

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Solution

The fourth proportional to 78,106.78, 117,165.64 and 31,359.66 is: 47,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.78 : 117,165.64 = 31,359.66 : x
  2. Step 2: Convert to fraction form
    78,106.78/117,165.64 = 31,359.66/x
  3. Step 3: Cross multiply
    78,106.78x = 117,165.64 × 31,359.66
  4. Step 4: Simplify right side
    78,106.78x = 3,674,274,175.11
  5. Step 5: Solve for x
    x = 3,674,274,175.11/78,106.78
  6. Step 6: Final answer
    x = 47,041.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.