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Finding the Fourth Proportional to 55,728, 83,596.86 and 14,175

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Solution

The fourth proportional to 55,728, 83,596.86 and 14,175 is: 21,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728 : 83,596.86 = 14,175 : x
  2. Step 2: Convert to fraction form
    55,728/83,596.86 = 14,175/x
  3. Step 3: Cross multiply
    55,728x = 83,596.86 × 14,175
  4. Step 4: Simplify right side
    55,728x = 1,184,985,490.50
  5. Step 5: Solve for x
    x = 1,184,985,490.50/55,728
  6. Step 6: Final answer
    x = 21,263.74

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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.