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Finding the Fourth Proportional to 286,075.40, 429,113.10 and 75,734.60

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Solution

The fourth proportional to 286,075.40, 429,113.10 and 75,734.60 is: 113,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,075.40 : 429,113.10 = 75,734.60 : x
  2. Step 2: Convert to fraction form
    286,075.40/429,113.10 = 75,734.60/x
  3. Step 3: Cross multiply
    286,075.40x = 429,113.10 × 75,734.60
  4. Step 4: Simplify right side
    286,075.40x = 32,498,708,983.26
  5. Step 5: Solve for x
    x = 32,498,708,983.26/286,075.40
  6. Step 6: Final answer
    x = 113,601.90

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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.