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Finding the Fourth Proportional to 12,100,978.08, 16,702,574.40 and 7,143,778.08

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Solution

The fourth proportional to 12,100,978.08, 16,702,574.40 and 7,143,778.08 is: 9,860,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100,978.08 : 16,702,574.40 = 7,143,778.08 : x
  2. Step 2: Convert to fraction form
    12,100,978.08/16,702,574.40 = 7,143,778.08/x
  3. Step 3: Cross multiply
    12,100,978.08x = 16,702,574.40 × 7,143,778.08
  4. Step 4: Simplify right side
    12,100,978.08x = 119,319,484,878,289.16
  5. Step 5: Solve for x
    x = 119,319,484,878,289.16/12,100,978.08
  6. Step 6: Final answer
    x = 9,860,317.41

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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.