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Finding the Fourth Proportional to 208,016, 286,945.44 and 127,482.56

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Solution

The fourth proportional to 208,016, 286,945.44 and 127,482.56 is: 175,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,016 : 286,945.44 = 127,482.56 : x
  2. Step 2: Convert to fraction form
    208,016/286,945.44 = 127,482.56/x
  3. Step 3: Cross multiply
    208,016x = 286,945.44 × 127,482.56
  4. Step 4: Simplify right side
    208,016x = 36,580,539,271.53
  5. Step 5: Solve for x
    x = 36,580,539,271.53/208,016
  6. Step 6: Final answer
    x = 175,854.45

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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.