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Finding the Fourth Proportional to 175,729.40, 263,619.70 and 57,406.20

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Solution

The fourth proportional to 175,729.40, 263,619.70 and 57,406.20 is: 86,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,729.40 : 263,619.70 = 57,406.20 : x
  2. Step 2: Convert to fraction form
    175,729.40/263,619.70 = 57,406.20/x
  3. Step 3: Cross multiply
    175,729.40x = 263,619.70 × 57,406.20
  4. Step 4: Simplify right side
    175,729.40x = 15,133,405,222.14
  5. Step 5: Solve for x
    x = 15,133,405,222.14/175,729.40
  6. Step 6: Final answer
    x = 86,117.66

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1.5x scale

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.