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Finding the Fourth Proportional to 65,692.32, 90,655.50 and 37,398

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Solution

The fourth proportional to 65,692.32, 90,655.50 and 37,398 is: 51,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.32 : 90,655.50 = 37,398 : x
  2. Step 2: Convert to fraction form
    65,692.32/90,655.50 = 37,398/x
  3. Step 3: Cross multiply
    65,692.32x = 90,655.50 × 37,398
  4. Step 4: Simplify right side
    65,692.32x = 3,390,334,389
  5. Step 5: Solve for x
    x = 3,390,334,389/65,692.32
  6. Step 6: Final answer
    x = 51,609.30

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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.