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Finding the Fourth Proportional to 64,809.80, 89,466.18 and 47,784.68

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Solution

The fourth proportional to 64,809.80, 89,466.18 and 47,784.68 is: 65,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809.80 : 89,466.18 = 47,784.68 : x
  2. Step 2: Convert to fraction form
    64,809.80/89,466.18 = 47,784.68/x
  3. Step 3: Cross multiply
    64,809.80x = 89,466.18 × 47,784.68
  4. Step 4: Simplify right side
    64,809.80x = 4,275,112,782.12
  5. Step 5: Solve for x
    x = 4,275,112,782.12/64,809.80
  6. Step 6: Final answer
    x = 65,963.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.