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Finding the Fourth Proportional to 82,965.95, 114,492.97 and 45,240.20

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Solution

The fourth proportional to 82,965.95, 114,492.97 and 45,240.20 is: 62,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,965.95 : 114,492.97 = 45,240.20 : x
  2. Step 2: Convert to fraction form
    82,965.95/114,492.97 = 45,240.20/x
  3. Step 3: Cross multiply
    82,965.95x = 114,492.97 × 45,240.20
  4. Step 4: Simplify right side
    82,965.95x = 5,179,684,774.83
  5. Step 5: Solve for x
    x = 5,179,684,774.83/82,965.95
  6. Step 6: Final answer
    x = 62,431.45

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1.5x scale

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.