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Finding the Fourth Proportional to 211,959, 292,502.64 and 115,162.20

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Solution

The fourth proportional to 211,959, 292,502.64 and 115,162.20 is: 158,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,959 : 292,502.64 = 115,162.20 : x
  2. Step 2: Convert to fraction form
    211,959/292,502.64 = 115,162.20/x
  3. Step 3: Cross multiply
    211,959x = 292,502.64 × 115,162.20
  4. Step 4: Simplify right side
    211,959x = 33,685,247,528.21
  5. Step 5: Solve for x
    x = 33,685,247,528.21/211,959
  6. Step 6: Final answer
    x = 158,923.41

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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.