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Finding the Fourth Proportional to 128,782.56, 177,719.93 and 71,430.66

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Solution

The fourth proportional to 128,782.56, 177,719.93 and 71,430.66 is: 98,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,782.56 : 177,719.93 = 71,430.66 : x
  2. Step 2: Convert to fraction form
    128,782.56/177,719.93 = 71,430.66/x
  3. Step 3: Cross multiply
    128,782.56x = 177,719.93 × 71,430.66
  4. Step 4: Simplify right side
    128,782.56x = 12,694,651,537.90
  5. Step 5: Solve for x
    x = 12,694,651,537.90/128,782.56
  6. Step 6: Final answer
    x = 98,574.31

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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.