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Finding the Fourth Proportional to 10,129,442.04, 13,978,623.60 and 5,545,762.20

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Solution

The fourth proportional to 10,129,442.04, 13,978,623.60 and 5,545,762.20 is: 7,653,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129,442.04 : 13,978,623.60 = 5,545,762.20 : x
  2. Step 2: Convert to fraction form
    10,129,442.04/13,978,623.60 = 5,545,762.20/x
  3. Step 3: Cross multiply
    10,129,442.04x = 13,978,623.60 × 5,545,762.20
  4. Step 4: Simplify right side
    10,129,442.04x = 77,522,122,368,907.92
  5. Step 5: Solve for x
    x = 77,522,122,368,907.92/10,129,442.04
  6. Step 6: Final answer
    x = 7,653,148.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.