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Finding the Fourth Proportional to 135,142.40, 186,493.44 and 75,526.40

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Solution

The fourth proportional to 135,142.40, 186,493.44 and 75,526.40 is: 104,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,142.40 : 186,493.44 = 75,526.40 : x
  2. Step 2: Convert to fraction form
    135,142.40/186,493.44 = 75,526.40/x
  3. Step 3: Cross multiply
    135,142.40x = 186,493.44 × 75,526.40
  4. Step 4: Simplify right side
    135,142.40x = 14,085,178,146.82
  5. Step 5: Solve for x
    x = 14,085,178,146.82/135,142.40
  6. Step 6: Final answer
    x = 104,224.72

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1.5x scale

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.