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Finding the Fourth Proportional to 135,645, 187,192.36 and 75,218.20

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Solution

The fourth proportional to 135,645, 187,192.36 and 75,218.20 is: 103,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,645 : 187,192.36 = 75,218.20 : x
  2. Step 2: Convert to fraction form
    135,645/187,192.36 = 75,218.20/x
  3. Step 3: Cross multiply
    135,645x = 187,192.36 × 75,218.20
  4. Step 4: Simplify right side
    135,645x = 14,080,272,372.95
  5. Step 5: Solve for x
    x = 14,080,272,372.95/135,645
  6. Step 6: Final answer
    x = 103,802.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.