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Finding the Fourth Proportional to 120,830.84, 166,734.14 and 70,559

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Solution

The fourth proportional to 120,830.84, 166,734.14 and 70,559 is: 97,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830.84 : 166,734.14 = 70,559 : x
  2. Step 2: Convert to fraction form
    120,830.84/166,734.14 = 70,559/x
  3. Step 3: Cross multiply
    120,830.84x = 166,734.14 × 70,559
  4. Step 4: Simplify right side
    120,830.84x = 11,764,594,184.26
  5. Step 5: Solve for x
    x = 11,764,594,184.26/120,830.84
  6. Step 6: Final answer
    x = 97,364.17

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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.