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Finding the Fourth Proportional to 171,530.40, 257,314.80 and 53,200.80

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Solution

The fourth proportional to 171,530.40, 257,314.80 and 53,200.80 is: 79,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,530.40 : 257,314.80 = 53,200.80 : x
  2. Step 2: Convert to fraction form
    171,530.40/257,314.80 = 53,200.80/x
  3. Step 3: Cross multiply
    171,530.40x = 257,314.80 × 53,200.80
  4. Step 4: Simplify right side
    171,530.40x = 13,689,353,211.84
  5. Step 5: Solve for x
    x = 13,689,353,211.84/171,530.40
  6. Step 6: Final answer
    x = 79,807.15

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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.