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Finding the Fourth Proportional to 171,909.20, 257,708.28 and 61,075.28

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Solution

The fourth proportional to 171,909.20, 257,708.28 and 61,075.28 is: 91,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.20 : 257,708.28 = 61,075.28 : x
  2. Step 2: Convert to fraction form
    171,909.20/257,708.28 = 61,075.28/x
  3. Step 3: Cross multiply
    171,909.20x = 257,708.28 × 61,075.28
  4. Step 4: Simplify right side
    171,909.20x = 15,739,605,359.32
  5. Step 5: Solve for x
    x = 15,739,605,359.32/171,909.20
  6. Step 6: Final answer
    x = 91,557.67

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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.