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Finding the Fourth Proportional to 128,643.19, 177,527.60 and 78,342.19

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Solution

The fourth proportional to 128,643.19, 177,527.60 and 78,342.19 is: 108,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,643.19 : 177,527.60 = 78,342.19 : x
  2. Step 2: Convert to fraction form
    128,643.19/177,527.60 = 78,342.19/x
  3. Step 3: Cross multiply
    128,643.19x = 177,527.60 × 78,342.19
  4. Step 4: Simplify right side
    128,643.19x = 13,907,900,427.70
  5. Step 5: Solve for x
    x = 13,907,900,427.70/128,643.19
  6. Step 6: Final answer
    x = 108,112.22

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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.