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Finding the Fourth Proportional to 70,838, 106,257.04 and 21,590

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Solution

The fourth proportional to 70,838, 106,257.04 and 21,590 is: 32,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838 : 106,257.04 = 21,590 : x
  2. Step 2: Convert to fraction form
    70,838/106,257.04 = 21,590/x
  3. Step 3: Cross multiply
    70,838x = 106,257.04 × 21,590
  4. Step 4: Simplify right side
    70,838x = 2,294,089,493.60
  5. Step 5: Solve for x
    x = 2,294,089,493.60/70,838
  6. Step 6: Final answer
    x = 32,385.01

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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.