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Finding the Fourth Proportional to 171,742.40, 257,632.80 and 53,412.80

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Solution

The fourth proportional to 171,742.40, 257,632.80 and 53,412.80 is: 80,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,742.40 : 257,632.80 = 53,412.80 : x
  2. Step 2: Convert to fraction form
    171,742.40/257,632.80 = 53,412.80/x
  3. Step 3: Cross multiply
    171,742.40x = 257,632.80 × 53,412.80
  4. Step 4: Simplify right side
    171,742.40x = 13,760,889,219.84
  5. Step 5: Solve for x
    x = 13,760,889,219.84/171,742.40
  6. Step 6: Final answer
    x = 80,125.17

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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.