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Finding the Fourth Proportional to 70,308, 105,462 and 21,060

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Solution

The fourth proportional to 70,308, 105,462 and 21,060 is: 31,590

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,308 : 105,462 = 21,060 : x
  2. Step 2: Convert to fraction form
    70,308/105,462 = 21,060/x
  3. Step 3: Cross multiply
    70,308x = 105,462 × 21,060
  4. Step 4: Simplify right side
    70,308x = 2,221,029,720
  5. Step 5: Solve for x
    x = 2,221,029,720/70,308
  6. Step 6: Final answer
    x = 31,590

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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.