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Finding the Fourth Proportional to 68,070.58, 102,116.40 and 21,319

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Solution

The fourth proportional to 68,070.58, 102,116.40 and 21,319 is: 31,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,070.58 : 102,116.40 = 21,319 : x
  2. Step 2: Convert to fraction form
    68,070.58/102,116.40 = 21,319/x
  3. Step 3: Cross multiply
    68,070.58x = 102,116.40 × 21,319
  4. Step 4: Simplify right side
    68,070.58x = 2,177,019,531.60
  5. Step 5: Solve for x
    x = 2,177,019,531.60/68,070.58
  6. Step 6: Final answer
    x = 31,981.80

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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.