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Finding the Fourth Proportional to 56,998.34, 78,656.10 and 31,847.84

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Solution

The fourth proportional to 56,998.34, 78,656.10 and 31,847.84 is: 43,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.34 : 78,656.10 = 31,847.84 : x
  2. Step 2: Convert to fraction form
    56,998.34/78,656.10 = 31,847.84/x
  3. Step 3: Cross multiply
    56,998.34x = 78,656.10 × 31,847.84
  4. Step 4: Simplify right side
    56,998.34x = 2,505,026,887.82
  5. Step 5: Solve for x
    x = 2,505,026,887.82/56,998.34
  6. Step 6: Final answer
    x = 43,949.12

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1.5x scale

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.