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Finding the Fourth Proportional to 135,074.84, 202,548.68 and 78,931.16

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Solution

The fourth proportional to 135,074.84, 202,548.68 and 78,931.16 is: 118,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,074.84 : 202,548.68 = 78,931.16 : x
  2. Step 2: Convert to fraction form
    135,074.84/202,548.68 = 78,931.16/x
  3. Step 3: Cross multiply
    135,074.84x = 202,548.68 × 78,931.16
  4. Step 4: Simplify right side
    135,074.84x = 15,987,402,268.87
  5. Step 5: Solve for x
    x = 15,987,402,268.87/135,074.84
  6. Step 6: Final answer
    x = 118,359.59

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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.