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Finding the Fourth Proportional to 91,964, 137,946 and 26,300

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Solution

The fourth proportional to 91,964, 137,946 and 26,300 is: 39,450

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,964 : 137,946 = 26,300 : x
  2. Step 2: Convert to fraction form
    91,964/137,946 = 26,300/x
  3. Step 3: Cross multiply
    91,964x = 137,946 × 26,300
  4. Step 4: Simplify right side
    91,964x = 3,627,979,800
  5. Step 5: Solve for x
    x = 3,627,979,800/91,964
  6. Step 6: Final answer
    x = 39,450

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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.