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Finding the Fourth Proportional to 211,509, 291,893.94 and 122,113.80

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Solution

The fourth proportional to 211,509, 291,893.94 and 122,113.80 is: 168,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509 : 291,893.94 = 122,113.80 : x
  2. Step 2: Convert to fraction form
    211,509/291,893.94 = 122,113.80/x
  3. Step 3: Cross multiply
    211,509x = 291,893.94 × 122,113.80
  4. Step 4: Simplify right side
    211,509x = 35,644,278,210.37
  5. Step 5: Solve for x
    x = 35,644,278,210.37/211,509
  6. Step 6: Final answer
    x = 168,523.70

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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.