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Finding the Fourth Proportional to 208,063.13, 286,865.71 and 169,783.80

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Solution

The fourth proportional to 208,063.13, 286,865.71 and 169,783.80 is: 234,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.13 : 286,865.71 = 169,783.80 : x
  2. Step 2: Convert to fraction form
    208,063.13/286,865.71 = 169,783.80/x
  3. Step 3: Cross multiply
    208,063.13x = 286,865.71 × 169,783.80
  4. Step 4: Simplify right side
    208,063.13x = 48,705,149,310.81
  5. Step 5: Solve for x
    x = 48,705,149,310.81/208,063.13
  6. Step 6: Final answer
    x = 234,088.32

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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.