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Finding the Fourth Proportional to 65,783.89, 98,698.74 and 20,812.20

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Solution

The fourth proportional to 65,783.89, 98,698.74 and 20,812.20 is: 31,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.89 : 98,698.74 = 20,812.20 : x
  2. Step 2: Convert to fraction form
    65,783.89/98,698.74 = 20,812.20/x
  3. Step 3: Cross multiply
    65,783.89x = 98,698.74 × 20,812.20
  4. Step 4: Simplify right side
    65,783.89x = 2,054,137,916.63
  5. Step 5: Solve for x
    x = 2,054,137,916.63/65,783.89
  6. Step 6: Final answer
    x = 31,225.55

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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.