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Finding the Fourth Proportional to 286,099.27, 429,149.10 and 99,110.77

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Solution

The fourth proportional to 286,099.27, 429,149.10 and 99,110.77 is: 148,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.27 : 429,149.10 = 99,110.77 : x
  2. Step 2: Convert to fraction form
    286,099.27/429,149.10 = 99,110.77/x
  3. Step 3: Cross multiply
    286,099.27x = 429,149.10 × 99,110.77
  4. Step 4: Simplify right side
    286,099.27x = 42,533,297,745.81
  5. Step 5: Solve for x
    x = 42,533,297,745.81/286,099.27
  6. Step 6: Final answer
    x = 148,666.22

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1.5x scale

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.