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Finding the Fourth Proportional to 256,790.70, 385,156.89 and 99,005.94

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Solution

The fourth proportional to 256,790.70, 385,156.89 and 99,005.94 is: 148,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,790.70 : 385,156.89 = 99,005.94 : x
  2. Step 2: Convert to fraction form
    256,790.70/385,156.89 = 99,005.94/x
  3. Step 3: Cross multiply
    256,790.70x = 385,156.89 × 99,005.94
  4. Step 4: Simplify right side
    256,790.70x = 38,132,819,941.93
  5. Step 5: Solve for x
    x = 38,132,819,941.93/256,790.70
  6. Step 6: Final answer
    x = 148,497.67

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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.