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Finding the Fourth Proportional to 75,855, 104,679.90 and 42,321

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Solution

The fourth proportional to 75,855, 104,679.90 and 42,321 is: 58,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855 : 104,679.90 = 42,321 : x
  2. Step 2: Convert to fraction form
    75,855/104,679.90 = 42,321/x
  3. Step 3: Cross multiply
    75,855x = 104,679.90 × 42,321
  4. Step 4: Simplify right side
    75,855x = 4,430,158,047.90
  5. Step 5: Solve for x
    x = 4,430,158,047.90/75,855
  6. Step 6: Final answer
    x = 58,402.98

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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.