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Finding the Fourth Proportional to 65,286, 97,930.08 and 28,350

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Solution

The fourth proportional to 65,286, 97,930.08 and 28,350 is: 42,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,286 : 97,930.08 = 28,350 : x
  2. Step 2: Convert to fraction form
    65,286/97,930.08 = 28,350/x
  3. Step 3: Cross multiply
    65,286x = 97,930.08 × 28,350
  4. Step 4: Simplify right side
    65,286x = 2,776,317,768
  5. Step 5: Solve for x
    x = 2,776,317,768/65,286
  6. Step 6: Final answer
    x = 42,525.47

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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.