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Finding the Fourth Proportional to 70,328.36, 105,464.75 and 22,931.80

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Solution

The fourth proportional to 70,328.36, 105,464.75 and 22,931.80 is: 34,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,328.36 : 105,464.75 = 22,931.80 : x
  2. Step 2: Convert to fraction form
    70,328.36/105,464.75 = 22,931.80/x
  3. Step 3: Cross multiply
    70,328.36x = 105,464.75 × 22,931.80
  4. Step 4: Simplify right side
    70,328.36x = 2,418,496,897.96
  5. Step 5: Solve for x
    x = 2,418,496,897.96/70,328.36
  6. Step 6: Final answer
    x = 34,388.64

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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.