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Finding the Fourth Proportional to 19,901,074.16, 29,851,511.04 and 7,771,769.30

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Solution

The fourth proportional to 19,901,074.16, 29,851,511.04 and 7,771,769.30 is: 11,657,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901,074.16 : 29,851,511.04 = 7,771,769.30 : x
  2. Step 2: Convert to fraction form
    19,901,074.16/29,851,511.04 = 7,771,769.30/x
  3. Step 3: Cross multiply
    19,901,074.16x = 29,851,511.04 × 7,771,769.30
  4. Step 4: Simplify right side
    19,901,074.16x = 231,999,057,059,283.06
  5. Step 5: Solve for x
    x = 231,999,057,059,283.06/19,901,074.16
  6. Step 6: Final answer
    x = 11,657,614.82

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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.