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Finding the Fourth Proportional to 64,786, 97,022.26 and 31,423.45

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Solution

The fourth proportional to 64,786, 97,022.26 and 31,423.45 is: 47,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,786 : 97,022.26 = 31,423.45 : x
  2. Step 2: Convert to fraction form
    64,786/97,022.26 = 31,423.45/x
  3. Step 3: Cross multiply
    64,786x = 97,022.26 × 31,423.45
  4. Step 4: Simplify right side
    64,786x = 3,048,774,136.00
  5. Step 5: Solve for x
    x = 3,048,774,136.00/64,786
  6. Step 6: Final answer
    x = 47,059.15

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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.