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Finding the Fourth Proportional to 209,893.79, 314,887.47 and 76,771.10

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Solution

The fourth proportional to 209,893.79, 314,887.47 and 76,771.10 is: 115,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,893.79 : 314,887.47 = 76,771.10 : x
  2. Step 2: Convert to fraction form
    209,893.79/314,887.47 = 76,771.10/x
  3. Step 3: Cross multiply
    209,893.79x = 314,887.47 × 76,771.10
  4. Step 4: Simplify right side
    209,893.79x = 24,174,257,448.12
  5. Step 5: Solve for x
    x = 24,174,257,448.12/209,893.79
  6. Step 6: Final answer
    x = 115,173.76

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1.5x scale

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.