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Finding the Fourth Proportional to 77,657.40, 116,493.66 and 30,899.34

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Solution

The fourth proportional to 77,657.40, 116,493.66 and 30,899.34 is: 46,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.40 : 116,493.66 = 30,899.34 : x
  2. Step 2: Convert to fraction form
    77,657.40/116,493.66 = 30,899.34/x
  3. Step 3: Cross multiply
    77,657.40x = 116,493.66 × 30,899.34
  4. Step 4: Simplify right side
    77,657.40x = 3,599,577,208.18
  5. Step 5: Solve for x
    x = 3,599,577,208.18/77,657.40
  6. Step 6: Final answer
    x = 46,352.02

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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.