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Finding the Fourth Proportional to 135,478.76, 186,960.69 and 75,053.32

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Solution

The fourth proportional to 135,478.76, 186,960.69 and 75,053.32 is: 103,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,478.76 : 186,960.69 = 75,053.32 : x
  2. Step 2: Convert to fraction form
    135,478.76/186,960.69 = 75,053.32/x
  3. Step 3: Cross multiply
    135,478.76x = 186,960.69 × 75,053.32
  4. Step 4: Simplify right side
    135,478.76x = 14,032,019,559.19
  5. Step 5: Solve for x
    x = 14,032,019,559.19/135,478.76
  6. Step 6: Final answer
    x = 103,573.58

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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.