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Finding the Fourth Proportional to 86,314.16, 129,419.39 and 33,748.40

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Solution

The fourth proportional to 86,314.16, 129,419.39 and 33,748.40 is: 50,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314.16 : 129,419.39 = 33,748.40 : x
  2. Step 2: Convert to fraction form
    86,314.16/129,419.39 = 33,748.40/x
  3. Step 3: Cross multiply
    86,314.16x = 129,419.39 × 33,748.40
  4. Step 4: Simplify right side
    86,314.16x = 4,367,697,341.48
  5. Step 5: Solve for x
    x = 4,367,697,341.48/86,314.16
  6. Step 6: Final answer
    x = 50,602.33

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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.