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Finding the Fourth Proportional to 128,642.85, 177,527.13 and 78,341.85

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Solution

The fourth proportional to 128,642.85, 177,527.13 and 78,341.85 is: 108,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,642.85 : 177,527.13 = 78,341.85 : x
  2. Step 2: Convert to fraction form
    128,642.85/177,527.13 = 78,341.85/x
  3. Step 3: Cross multiply
    128,642.85x = 177,527.13 × 78,341.85
  4. Step 4: Simplify right side
    128,642.85x = 13,907,802,510.05
  5. Step 5: Solve for x
    x = 13,907,802,510.05/128,642.85
  6. Step 6: Final answer
    x = 108,111.75

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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.