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Finding the Fourth Proportional to 135,598.85, 187,113.84 and 75,164.36

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Solution

The fourth proportional to 135,598.85, 187,113.84 and 75,164.36 is: 103,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,598.85 : 187,113.84 = 75,164.36 : x
  2. Step 2: Convert to fraction form
    135,598.85/187,113.84 = 75,164.36/x
  3. Step 3: Cross multiply
    135,598.85x = 187,113.84 × 75,164.36
  4. Step 4: Simplify right side
    135,598.85x = 14,064,291,095.17
  5. Step 5: Solve for x
    x = 14,064,291,095.17/135,598.85
  6. Step 6: Final answer
    x = 103,719.84

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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.