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Finding the Fourth Proportional to 64,731.84, 97,107.12 and 31,453.80

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Solution

The fourth proportional to 64,731.84, 97,107.12 and 31,453.80 is: 47,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,731.84 : 97,107.12 = 31,453.80 : x
  2. Step 2: Convert to fraction form
    64,731.84/97,107.12 = 31,453.80/x
  3. Step 3: Cross multiply
    64,731.84x = 97,107.12 × 31,453.80
  4. Step 4: Simplify right side
    64,731.84x = 3,054,387,931.06
  5. Step 5: Solve for x
    x = 3,054,387,931.06/64,731.84
  6. Step 6: Final answer
    x = 47,185.25

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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.