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Finding the Fourth Proportional to 208,564.65, 287,818.59 and 113,071.32

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Solution

The fourth proportional to 208,564.65, 287,818.59 and 113,071.32 is: 156,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,564.65 : 287,818.59 = 113,071.32 : x
  2. Step 2: Convert to fraction form
    208,564.65/287,818.59 = 113,071.32/x
  3. Step 3: Cross multiply
    208,564.65x = 287,818.59 × 113,071.32
  4. Step 4: Simplify right side
    208,564.65x = 32,544,027,891.84
  5. Step 5: Solve for x
    x = 32,544,027,891.84/208,564.65
  6. Step 6: Final answer
    x = 156,038.08

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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.