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Finding the Fourth Proportional to 211,421, 291,769.80 and 115,931.36

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Solution

The fourth proportional to 211,421, 291,769.80 and 115,931.36 is: 159,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,421 : 291,769.80 = 115,931.36 : x
  2. Step 2: Convert to fraction form
    211,421/291,769.80 = 115,931.36/x
  3. Step 3: Cross multiply
    211,421x = 291,769.80 × 115,931.36
  4. Step 4: Simplify right side
    211,421x = 33,825,269,720.93
  5. Step 5: Solve for x
    x = 33,825,269,720.93/211,421
  6. Step 6: Final answer
    x = 159,990.11

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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.