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Finding the Fourth Proportional to 13,194,805.60, 19,789,443.60 and 6,468,047.20

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Solution

The fourth proportional to 13,194,805.60, 19,789,443.60 and 6,468,047.20 is: 9,700,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194,805.60 : 19,789,443.60 = 6,468,047.20 : x
  2. Step 2: Convert to fraction form
    13,194,805.60/19,789,443.60 = 6,468,047.20/x
  3. Step 3: Cross multiply
    13,194,805.60x = 19,789,443.60 × 6,468,047.20
  4. Step 4: Simplify right side
    13,194,805.60x = 127,999,055,266,537.94
  5. Step 5: Solve for x
    x = 127,999,055,266,537.94/13,194,805.60
  6. Step 6: Final answer
    x = 9,700,715.50

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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.