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Finding the Fourth Proportional to 76,985.42, 106,233.75 and 42,991.90

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Solution

The fourth proportional to 76,985.42, 106,233.75 and 42,991.90 is: 59,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985.42 : 106,233.75 = 42,991.90 : x
  2. Step 2: Convert to fraction form
    76,985.42/106,233.75 = 42,991.90/x
  3. Step 3: Cross multiply
    76,985.42x = 106,233.75 × 42,991.90
  4. Step 4: Simplify right side
    76,985.42x = 4,567,190,491.04
  5. Step 5: Solve for x
    x = 4,567,190,491.04/76,985.42
  6. Step 6: Final answer
    x = 59,325.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.