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Finding the Fourth Proportional to 208,534.80, 287,779.50 and 113,043

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Solution

The fourth proportional to 208,534.80, 287,779.50 and 113,043 is: 156,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534.80 : 287,779.50 = 113,043 : x
  2. Step 2: Convert to fraction form
    208,534.80/287,779.50 = 113,043/x
  3. Step 3: Cross multiply
    208,534.80x = 287,779.50 × 113,043
  4. Step 4: Simplify right side
    208,534.80x = 32,531,458,018.50
  5. Step 5: Solve for x
    x = 32,531,458,018.50/208,534.80
  6. Step 6: Final answer
    x = 156,000.14

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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.