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Finding the Fourth Proportional to 107,071, 160,616.40 and 28,185.64

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Solution

The fourth proportional to 107,071, 160,616.40 and 28,185.64 is: 42,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071 : 160,616.40 = 28,185.64 : x
  2. Step 2: Convert to fraction form
    107,071/160,616.40 = 28,185.64/x
  3. Step 3: Cross multiply
    107,071x = 160,616.40 × 28,185.64
  4. Step 4: Simplify right side
    107,071x = 4,527,076,028.50
  5. Step 5: Solve for x
    x = 4,527,076,028.50/107,071
  6. Step 6: Final answer
    x = 42,281.07

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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.