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Finding the Fourth Proportional to 56,709,978.30, 84,876,010.65 and 52,175,015.10

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Solution

The fourth proportional to 56,709,978.30, 84,876,010.65 and 52,175,015.10 is: 78,088,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709,978.30 : 84,876,010.65 = 52,175,015.10 : x
  2. Step 2: Convert to fraction form
    56,709,978.30/84,876,010.65 = 52,175,015.10/x
  3. Step 3: Cross multiply
    56,709,978.30x = 84,876,010.65 × 52,175,015.10
  4. Step 4: Simplify right side
    56,709,978.30x = 4,428,407,137,291,511.50
  5. Step 5: Solve for x
    x = 4,428,407,137,291,511.50/56,709,978.30
  6. Step 6: Final answer
    x = 78,088,676.28

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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.