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Finding the Fourth Proportional to 211,132.40, 316,007.40 and 164,130.80

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Solution

The fourth proportional to 211,132.40, 316,007.40 and 164,130.80 is: 245,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,132.40 : 316,007.40 = 164,130.80 : x
  2. Step 2: Convert to fraction form
    211,132.40/316,007.40 = 164,130.80/x
  3. Step 3: Cross multiply
    211,132.40x = 316,007.40 × 164,130.80
  4. Step 4: Simplify right side
    211,132.40x = 51,866,547,367.92
  5. Step 5: Solve for x
    x = 51,866,547,367.92/211,132.40
  6. Step 6: Final answer
    x = 245,658.87

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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.