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Finding the Fourth Proportional to 211,235, 291,457.01 and 120,561.98

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Solution

The fourth proportional to 211,235, 291,457.01 and 120,561.98 is: 166,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,235 : 291,457.01 = 120,561.98 : x
  2. Step 2: Convert to fraction form
    211,235/291,457.01 = 120,561.98/x
  3. Step 3: Cross multiply
    211,235x = 291,457.01 × 120,561.98
  4. Step 4: Simplify right side
    211,235x = 35,138,634,210.48
  5. Step 5: Solve for x
    x = 35,138,634,210.48/211,235
  6. Step 6: Final answer
    x = 166,348.54

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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.