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Finding the Fourth Proportional to 10,129,774.88, 13,978,535.64 and 5,545,209.44

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Solution

The fourth proportional to 10,129,774.88, 13,978,535.64 and 5,545,209.44 is: 7,652,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129,774.88 : 13,978,535.64 = 5,545,209.44 : x
  2. Step 2: Convert to fraction form
    10,129,774.88/13,978,535.64 = 5,545,209.44/x
  3. Step 3: Cross multiply
    10,129,774.88x = 13,978,535.64 × 5,545,209.44
  4. Step 4: Simplify right side
    10,129,774.88x = 77,513,907,788,304.45
  5. Step 5: Solve for x
    x = 77,513,907,788,304.45/10,129,774.88
  6. Step 6: Final answer
    x = 7,652,085.93

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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.