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Finding the Fourth Proportional to 52,229,110.10, 78,343,665.15 and 52,229,110.10

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Solution

The fourth proportional to 52,229,110.10, 78,343,665.15 and 52,229,110.10 is: 78,343,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,229,110.10 : 78,343,665.15 = 52,229,110.10 : x
  2. Step 2: Convert to fraction form
    52,229,110.10/78,343,665.15 = 52,229,110.10/x
  3. Step 3: Cross multiply
    52,229,110.10x = 78,343,665.15 × 52,229,110.10
  4. Step 4: Simplify right side
    52,229,110.10x = 4,091,819,912,756,883.50
  5. Step 5: Solve for x
    x = 4,091,819,912,756,883.50/52,229,110.10
  6. Step 6: Final answer
    x = 78,343,665.15

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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.