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Finding the Fourth Proportional to 213,121.50, 319,688.01 and 65,377.50

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Solution

The fourth proportional to 213,121.50, 319,688.01 and 65,377.50 is: 98,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,121.50 : 319,688.01 = 65,377.50 : x
  2. Step 2: Convert to fraction form
    213,121.50/319,688.01 = 65,377.50/x
  3. Step 3: Cross multiply
    213,121.50x = 319,688.01 × 65,377.50
  4. Step 4: Simplify right side
    213,121.50x = 20,900,402,873.78
  5. Step 5: Solve for x
    x = 20,900,402,873.78/213,121.50
  6. Step 6: Final answer
    x = 98,068.02

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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.