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Finding the Fourth Proportional to 99,594.93, 149,128.74 and 82,142.67

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Solution

The fourth proportional to 99,594.93, 149,128.74 and 82,142.67 is: 122,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,594.93 : 149,128.74 = 82,142.67 : x
  2. Step 2: Convert to fraction form
    99,594.93/149,128.74 = 82,142.67/x
  3. Step 3: Cross multiply
    99,594.93x = 149,128.74 × 82,142.67
  4. Step 4: Simplify right side
    99,594.93x = 12,249,832,877.34
  5. Step 5: Solve for x
    x = 12,249,832,877.34/99,594.93
  6. Step 6: Final answer
    x = 122,996.55

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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.