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Finding the Fourth Proportional to 286,099.26, 429,149.10 and 99,110.76

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Solution

The fourth proportional to 286,099.26, 429,149.10 and 99,110.76 is: 148,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.26 : 429,149.10 = 99,110.76 : x
  2. Step 2: Convert to fraction form
    286,099.26/429,149.10 = 99,110.76/x
  3. Step 3: Cross multiply
    286,099.26x = 429,149.10 × 99,110.76
  4. Step 4: Simplify right side
    286,099.26x = 42,533,293,454.32
  5. Step 5: Solve for x
    x = 42,533,293,454.32/286,099.26
  6. Step 6: Final answer
    x = 148,666.21

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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.