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Finding the Fourth Proportional to 70,468, 105,702 and 21,220

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Solution

The fourth proportional to 70,468, 105,702 and 21,220 is: 31,830

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,468 : 105,702 = 21,220 : x
  2. Step 2: Convert to fraction form
    70,468/105,702 = 21,220/x
  3. Step 3: Cross multiply
    70,468x = 105,702 × 21,220
  4. Step 4: Simplify right side
    70,468x = 2,242,996,440
  5. Step 5: Solve for x
    x = 2,242,996,440/70,468
  6. Step 6: Final answer
    x = 31,830

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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.