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Finding the Fourth Proportional to 128,870.41, 177,842.12 and 71,509.96

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Solution

The fourth proportional to 128,870.41, 177,842.12 and 71,509.96 is: 98,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,870.41 : 177,842.12 = 71,509.96 : x
  2. Step 2: Convert to fraction form
    128,870.41/177,842.12 = 71,509.96/x
  3. Step 3: Cross multiply
    128,870.41x = 177,842.12 × 71,509.96
  4. Step 4: Simplify right side
    128,870.41x = 12,717,481,751.91
  5. Step 5: Solve for x
    x = 12,717,481,751.91/128,870.41
  6. Step 6: Final answer
    x = 98,684.27

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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.