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Finding the Fourth Proportional to 64,700, 89,290.16 and 39,223.84

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Solution

The fourth proportional to 64,700, 89,290.16 and 39,223.84 is: 54,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700 : 89,290.16 = 39,223.84 : x
  2. Step 2: Convert to fraction form
    64,700/89,290.16 = 39,223.84/x
  3. Step 3: Cross multiply
    64,700x = 89,290.16 × 39,223.84
  4. Step 4: Simplify right side
    64,700x = 3,502,302,949.41
  5. Step 5: Solve for x
    x = 3,502,302,949.41/64,700
  6. Step 6: Final answer
    x = 54,131.42

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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.