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Finding the Fourth Proportional to 21,383,841.80, 32,084,978.70 and 12,416,059.40

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Solution

The fourth proportional to 21,383,841.80, 32,084,978.70 and 12,416,059.40 is: 18,629,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383,841.80 : 32,084,978.70 = 12,416,059.40 : x
  2. Step 2: Convert to fraction form
    21,383,841.80/32,084,978.70 = 12,416,059.40/x
  3. Step 3: Cross multiply
    21,383,841.80x = 32,084,978.70 × 12,416,059.40
  4. Step 4: Simplify right side
    21,383,841.80x = 398,369,001,386,934.81
  5. Step 5: Solve for x
    x = 398,369,001,386,934.81/21,383,841.80
  6. Step 6: Final answer
    x = 18,629,440.17

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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.