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Finding the Fourth Proportional to 65,971, 91,045.74 and 36,168.76

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Solution

The fourth proportional to 65,971, 91,045.74 and 36,168.76 is: 49,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971 : 91,045.74 = 36,168.76 : x
  2. Step 2: Convert to fraction form
    65,971/91,045.74 = 36,168.76/x
  3. Step 3: Cross multiply
    65,971x = 91,045.74 × 36,168.76
  4. Step 4: Simplify right side
    65,971x = 3,293,011,519.08
  5. Step 5: Solve for x
    x = 3,293,011,519.08/65,971
  6. Step 6: Final answer
    x = 49,916.05

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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.