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Finding the Fourth Proportional to 213,120.50, 319,686.51 and 65,376.50

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Solution

The fourth proportional to 213,120.50, 319,686.51 and 65,376.50 is: 98,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,120.50 : 319,686.51 = 65,376.50 : x
  2. Step 2: Convert to fraction form
    213,120.50/319,686.51 = 65,376.50/x
  3. Step 3: Cross multiply
    213,120.50x = 319,686.51 × 65,376.50
  4. Step 4: Simplify right side
    213,120.50x = 20,899,985,121.02
  5. Step 5: Solve for x
    x = 20,899,985,121.02/213,120.50
  6. Step 6: Final answer
    x = 98,066.52

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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.