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Finding the Fourth Proportional to 138,075.86, 207,114.27 and 42,014

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Solution

The fourth proportional to 138,075.86, 207,114.27 and 42,014 is: 63,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,075.86 : 207,114.27 = 42,014 : x
  2. Step 2: Convert to fraction form
    138,075.86/207,114.27 = 42,014/x
  3. Step 3: Cross multiply
    138,075.86x = 207,114.27 × 42,014
  4. Step 4: Simplify right side
    138,075.86x = 8,701,698,939.78
  5. Step 5: Solve for x
    x = 8,701,698,939.78/138,075.86
  6. Step 6: Final answer
    x = 63,021.15

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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.