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Finding the Fourth Proportional to 134,969.63, 186,258.08 and 78,384.65

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Solution

The fourth proportional to 134,969.63, 186,258.08 and 78,384.65 is: 108,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,969.63 : 186,258.08 = 78,384.65 : x
  2. Step 2: Convert to fraction form
    134,969.63/186,258.08 = 78,384.65/x
  3. Step 3: Cross multiply
    134,969.63x = 186,258.08 × 78,384.65
  4. Step 4: Simplify right side
    134,969.63x = 14,599,773,675.14
  5. Step 5: Solve for x
    x = 14,599,773,675.14/134,969.63
  6. Step 6: Final answer
    x = 108,170.81

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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.