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Finding the Fourth Proportional to 86,970.84, 120,003.30 and 82,541.76

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Solution

The fourth proportional to 86,970.84, 120,003.30 and 82,541.76 is: 113,892.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,970.84 : 120,003.30 = 82,541.76 : x
  2. Step 2: Convert to fraction form
    86,970.84/120,003.30 = 82,541.76/x
  3. Step 3: Cross multiply
    86,970.84x = 120,003.30 × 82,541.76
  4. Step 4: Simplify right side
    86,970.84x = 9,905,283,587.81
  5. Step 5: Solve for x
    x = 9,905,283,587.81/86,970.84
  6. Step 6: Final answer
    x = 113,892.01

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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.