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Finding the Fourth Proportional to 285,301.59, 427,957.25 and 107,892.15

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Solution

The fourth proportional to 285,301.59, 427,957.25 and 107,892.15 is: 161,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,301.59 : 427,957.25 = 107,892.15 : x
  2. Step 2: Convert to fraction form
    285,301.59/427,957.25 = 107,892.15/x
  3. Step 3: Cross multiply
    285,301.59x = 427,957.25 × 107,892.15
  4. Step 4: Simplify right side
    285,301.59x = 46,173,227,271.13
  5. Step 5: Solve for x
    x = 46,173,227,271.13/285,301.59
  6. Step 6: Final answer
    x = 161,840.06

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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.