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Finding the Fourth Proportional to 77,852.24, 107,430 and 43,859.24

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Solution

The fourth proportional to 77,852.24, 107,430 and 43,859.24 is: 60,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852.24 : 107,430 = 43,859.24 : x
  2. Step 2: Convert to fraction form
    77,852.24/107,430 = 43,859.24/x
  3. Step 3: Cross multiply
    77,852.24x = 107,430 × 43,859.24
  4. Step 4: Simplify right side
    77,852.24x = 4,711,798,153.20
  5. Step 5: Solve for x
    x = 4,711,798,153.20/77,852.24
  6. Step 6: Final answer
    x = 60,522.32

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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.