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Finding the Fourth Proportional to 266,030.82, 399,113.08 and 76,491.54

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Solution

The fourth proportional to 266,030.82, 399,113.08 and 76,491.54 is: 114,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,030.82 : 399,113.08 = 76,491.54 : x
  2. Step 2: Convert to fraction form
    266,030.82/399,113.08 = 76,491.54/x
  3. Step 3: Cross multiply
    266,030.82x = 399,113.08 × 76,491.54
  4. Step 4: Simplify right side
    266,030.82x = 30,528,774,123.34
  5. Step 5: Solve for x
    x = 30,528,774,123.34/266,030.82
  6. Step 6: Final answer
    x = 114,756.53

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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.