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Finding the Fourth Proportional to 208,852.50, 288,208.74 and 113,357.16

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Solution

The fourth proportional to 208,852.50, 288,208.74 and 113,357.16 is: 156,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.50 : 288,208.74 = 113,357.16 : x
  2. Step 2: Convert to fraction form
    208,852.50/288,208.74 = 113,357.16/x
  3. Step 3: Cross multiply
    208,852.50x = 288,208.74 × 113,357.16
  4. Step 4: Simplify right side
    208,852.50x = 32,670,524,253.58
  5. Step 5: Solve for x
    x = 32,670,524,253.58/208,852.50
  6. Step 6: Final answer
    x = 156,428.70

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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.