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Finding the Fourth Proportional to 135,457.80, 186,931.56 and 75,028.42

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Solution

The fourth proportional to 135,457.80, 186,931.56 and 75,028.42 is: 103,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,457.80 : 186,931.56 = 75,028.42 : x
  2. Step 2: Convert to fraction form
    135,457.80/186,931.56 = 75,028.42/x
  3. Step 3: Cross multiply
    135,457.80x = 186,931.56 × 75,028.42
  4. Step 4: Simplify right side
    135,457.80x = 14,025,179,594.94
  5. Step 5: Solve for x
    x = 14,025,179,594.94/135,457.80
  6. Step 6: Final answer
    x = 103,539.11

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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.