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Finding the Fourth Proportional to 70,466, 105,699 and 21,218

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Solution

The fourth proportional to 70,466, 105,699 and 21,218 is: 31,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,466 : 105,699 = 21,218 : x
  2. Step 2: Convert to fraction form
    70,466/105,699 = 21,218/x
  3. Step 3: Cross multiply
    70,466x = 105,699 × 21,218
  4. Step 4: Simplify right side
    70,466x = 2,242,721,382
  5. Step 5: Solve for x
    x = 2,242,721,382/70,466
  6. Step 6: Final answer
    x = 31,827

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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.