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Finding the Fourth Proportional to 142,938.84, 214,378.16 and 92,185.84

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Solution

The fourth proportional to 142,938.84, 214,378.16 and 92,185.84 is: 138,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,938.84 : 214,378.16 = 92,185.84 : x
  2. Step 2: Convert to fraction form
    142,938.84/214,378.16 = 92,185.84/x
  3. Step 3: Cross multiply
    142,938.84x = 214,378.16 × 92,185.84
  4. Step 4: Simplify right side
    142,938.84x = 19,762,630,757.25
  5. Step 5: Solve for x
    x = 19,762,630,757.25/142,938.84
  6. Step 6: Final answer
    x = 138,259.35

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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.