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Finding the Fourth Proportional to 208,425.34, 287,623.18 and 117,779.34

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Solution

The fourth proportional to 208,425.34, 287,623.18 and 117,779.34 is: 162,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,425.34 : 287,623.18 = 117,779.34 : x
  2. Step 2: Convert to fraction form
    208,425.34/287,623.18 = 117,779.34/x
  3. Step 3: Cross multiply
    208,425.34x = 287,623.18 × 117,779.34
  4. Step 4: Simplify right side
    208,425.34x = 33,876,068,309.10
  5. Step 5: Solve for x
    x = 33,876,068,309.10/208,425.34
  6. Step 6: Final answer
    x = 162,533.35

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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.