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Finding the Fourth Proportional to 260,042.63, 390,167.42 and 100,075.61

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Solution

The fourth proportional to 260,042.63, 390,167.42 and 100,075.61 is: 150,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.63 : 390,167.42 = 100,075.61 : x
  2. Step 2: Convert to fraction form
    260,042.63/390,167.42 = 100,075.61/x
  3. Step 3: Cross multiply
    260,042.63x = 390,167.42 × 100,075.61
  4. Step 4: Simplify right side
    260,042.63x = 39,046,243,033.67
  5. Step 5: Solve for x
    x = 39,046,243,033.67/260,042.63
  6. Step 6: Final answer
    x = 150,153.24

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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.