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Finding the Fourth Proportional to 127,878, 176,477.70 and 71,289.36

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Solution

The fourth proportional to 127,878, 176,477.70 and 71,289.36 is: 98,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878 : 176,477.70 = 71,289.36 : x
  2. Step 2: Convert to fraction form
    127,878/176,477.70 = 71,289.36/x
  3. Step 3: Cross multiply
    127,878x = 176,477.70 × 71,289.36
  4. Step 4: Simplify right side
    127,878x = 12,580,982,287.27
  5. Step 5: Solve for x
    x = 12,580,982,287.27/127,878
  6. Step 6: Final answer
    x = 98,382.70

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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.