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Finding the Fourth Proportional to 208,276.56, 287,421.84 and 112,783.41

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Solution

The fourth proportional to 208,276.56, 287,421.84 and 112,783.41 is: 155,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,276.56 : 287,421.84 = 112,783.41 : x
  2. Step 2: Convert to fraction form
    208,276.56/287,421.84 = 112,783.41/x
  3. Step 3: Cross multiply
    208,276.56x = 287,421.84 × 112,783.41
  4. Step 4: Simplify right side
    208,276.56x = 32,416,415,223.67
  5. Step 5: Solve for x
    x = 32,416,415,223.67/208,276.56
  6. Step 6: Final answer
    x = 155,641.21

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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.