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Finding the Fourth Proportional to 286,055.98, 429,105.03 and 75,692.50

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Solution

The fourth proportional to 286,055.98, 429,105.03 and 75,692.50 is: 113,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,055.98 : 429,105.03 = 75,692.50 : x
  2. Step 2: Convert to fraction form
    286,055.98/429,105.03 = 75,692.50/x
  3. Step 3: Cross multiply
    286,055.98x = 429,105.03 × 75,692.50
  4. Step 4: Simplify right side
    286,055.98x = 32,480,032,483.28
  5. Step 5: Solve for x
    x = 32,480,032,483.28/286,055.98
  6. Step 6: Final answer
    x = 113,544.32

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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.