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Finding the Fourth Proportional to 70,564, 105,846 and 21,316

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Solution

The fourth proportional to 70,564, 105,846 and 21,316 is: 31,974

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,564 : 105,846 = 21,316 : x
  2. Step 2: Convert to fraction form
    70,564/105,846 = 21,316/x
  3. Step 3: Cross multiply
    70,564x = 105,846 × 21,316
  4. Step 4: Simplify right side
    70,564x = 2,256,213,336
  5. Step 5: Solve for x
    x = 2,256,213,336/70,564
  6. Step 6: Final answer
    x = 31,974

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.