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Finding the Fourth Proportional to 13,428,414.18, 20,148,575.04 and 7,037,146.98

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Solution

The fourth proportional to 13,428,414.18, 20,148,575.04 and 7,037,146.98 is: 10,558,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428,414.18 : 20,148,575.04 = 7,037,146.98 : x
  2. Step 2: Convert to fraction form
    13,428,414.18/20,148,575.04 = 7,037,146.98/x
  3. Step 3: Cross multiply
    13,428,414.18x = 20,148,575.04 × 7,037,146.98
  4. Step 4: Simplify right side
    13,428,414.18x = 141,788,483,994,039.38
  5. Step 5: Solve for x
    x = 141,788,483,994,039.38/13,428,414.18
  6. Step 6: Final answer
    x = 10,558,840.54

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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.