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Finding the Fourth Proportional to 208,159.12, 287,266.54 and 127,571.07

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Solution

The fourth proportional to 208,159.12, 287,266.54 and 127,571.07 is: 176,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.12 : 287,266.54 = 127,571.07 : x
  2. Step 2: Convert to fraction form
    208,159.12/287,266.54 = 127,571.07/x
  3. Step 3: Cross multiply
    208,159.12x = 287,266.54 × 127,571.07
  4. Step 4: Simplify right side
    208,159.12x = 36,646,899,883.00
  5. Step 5: Solve for x
    x = 36,646,899,883.00/208,159.12
  6. Step 6: Final answer
    x = 176,052.34

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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.