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Finding the Fourth Proportional to 213,148.80, 319,838.40 and 94,838.40

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Solution

The fourth proportional to 213,148.80, 319,838.40 and 94,838.40 is: 142,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,148.80 : 319,838.40 = 94,838.40 : x
  2. Step 2: Convert to fraction form
    213,148.80/319,838.40 = 94,838.40/x
  3. Step 3: Cross multiply
    213,148.80x = 319,838.40 × 94,838.40
  4. Step 4: Simplify right side
    213,148.80x = 30,332,962,114.56
  5. Step 5: Solve for x
    x = 30,332,962,114.56/213,148.80
  6. Step 6: Final answer
    x = 142,308.86

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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.