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Finding the Fourth Proportional to 57,808.16, 86,706 and 39,207.60

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Solution

The fourth proportional to 57,808.16, 86,706 and 39,207.60 is: 58,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,808.16 : 86,706 = 39,207.60 : x
  2. Step 2: Convert to fraction form
    57,808.16/86,706 = 39,207.60/x
  3. Step 3: Cross multiply
    57,808.16x = 86,706 × 39,207.60
  4. Step 4: Simplify right side
    57,808.16x = 3,399,534,165.60
  5. Step 5: Solve for x
    x = 3,399,534,165.60/57,808.16
  6. Step 6: Final answer
    x = 58,807.17

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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.