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Finding the Fourth Proportional to 71,038.20, 106,643.70 and 53,369.40

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Solution

The fourth proportional to 71,038.20, 106,643.70 and 53,369.40 is: 80,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038.20 : 106,643.70 = 53,369.40 : x
  2. Step 2: Convert to fraction form
    71,038.20/106,643.70 = 53,369.40/x
  3. Step 3: Cross multiply
    71,038.20x = 106,643.70 × 53,369.40
  4. Step 4: Simplify right side
    71,038.20x = 5,691,510,282.78
  5. Step 5: Solve for x
    x = 5,691,510,282.78/71,038.20
  6. Step 6: Final answer
    x = 80,119.01

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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.