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Finding the Fourth Proportional to 173,509.68, 260,261.28 and 55,189.20

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Solution

The fourth proportional to 173,509.68, 260,261.28 and 55,189.20 is: 82,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,509.68 : 260,261.28 = 55,189.20 : x
  2. Step 2: Convert to fraction form
    173,509.68/260,261.28 = 55,189.20/x
  3. Step 3: Cross multiply
    173,509.68x = 260,261.28 × 55,189.20
  4. Step 4: Simplify right side
    173,509.68x = 14,363,611,834.18
  5. Step 5: Solve for x
    x = 14,363,611,834.18/173,509.68
  6. Step 6: Final answer
    x = 82,782.77

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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.