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Finding the Fourth Proportional to 121,415.90, 182,123.85 and 65,282.45

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Solution

The fourth proportional to 121,415.90, 182,123.85 and 65,282.45 is: 97,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,415.90 : 182,123.85 = 65,282.45 : x
  2. Step 2: Convert to fraction form
    121,415.90/182,123.85 = 65,282.45/x
  3. Step 3: Cross multiply
    121,415.90x = 182,123.85 × 65,282.45
  4. Step 4: Simplify right side
    121,415.90x = 11,889,490,220.81
  5. Step 5: Solve for x
    x = 11,889,490,220.81/121,415.90
  6. Step 6: Final answer
    x = 97,923.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.