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Finding the Fourth Proportional to 208,180.56, 287,051.40 and 165,740.88

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Solution

The fourth proportional to 208,180.56, 287,051.40 and 165,740.88 is: 228,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180.56 : 287,051.40 = 165,740.88 : x
  2. Step 2: Convert to fraction form
    208,180.56/287,051.40 = 165,740.88/x
  3. Step 3: Cross multiply
    208,180.56x = 287,051.40 × 165,740.88
  4. Step 4: Simplify right side
    208,180.56x = 47,576,151,641.23
  5. Step 5: Solve for x
    x = 47,576,151,641.23/208,180.56
  6. Step 6: Final answer
    x = 228,533.11

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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.