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Finding the Fourth Proportional to 128,767.47, 177,695.81 and 71,405.88

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Solution

The fourth proportional to 128,767.47, 177,695.81 and 71,405.88 is: 98,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,767.47 : 177,695.81 = 71,405.88 : x
  2. Step 2: Convert to fraction form
    128,767.47/177,695.81 = 71,405.88/x
  3. Step 3: Cross multiply
    128,767.47x = 177,695.81 × 71,405.88
  4. Step 4: Simplify right side
    128,767.47x = 12,688,525,328.33
  5. Step 5: Solve for x
    x = 12,688,525,328.33/128,767.47
  6. Step 6: Final answer
    x = 98,538.28

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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.