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Finding the Fourth Proportional to 135,483.17, 186,966.75 and 75,057.74

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Solution

The fourth proportional to 135,483.17, 186,966.75 and 75,057.74 is: 103,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,483.17 : 186,966.75 = 75,057.74 : x
  2. Step 2: Convert to fraction form
    135,483.17/186,966.75 = 75,057.74/x
  3. Step 3: Cross multiply
    135,483.17x = 186,966.75 × 75,057.74
  4. Step 4: Simplify right side
    135,483.17x = 14,033,301,710.15
  5. Step 5: Solve for x
    x = 14,033,301,710.15/135,483.17
  6. Step 6: Final answer
    x = 103,579.67

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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.