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Finding the Fourth Proportional to 70,319, 105,495.78 and 21,071

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Solution

The fourth proportional to 70,319, 105,495.78 and 21,071 is: 31,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,319 : 105,495.78 = 21,071 : x
  2. Step 2: Convert to fraction form
    70,319/105,495.78 = 21,071/x
  3. Step 3: Cross multiply
    70,319x = 105,495.78 × 21,071
  4. Step 4: Simplify right side
    70,319x = 2,222,901,580.38
  5. Step 5: Solve for x
    x = 2,222,901,580.38/70,319
  6. Step 6: Final answer
    x = 31,611.68

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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.