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Finding the Fourth Proportional to 208,412.60, 287,595.78 and 132,953

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Solution

The fourth proportional to 208,412.60, 287,595.78 and 132,953 is: 183,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412.60 : 287,595.78 = 132,953 : x
  2. Step 2: Convert to fraction form
    208,412.60/287,595.78 = 132,953/x
  3. Step 3: Cross multiply
    208,412.60x = 287,595.78 × 132,953
  4. Step 4: Simplify right side
    208,412.60x = 38,236,721,738.34
  5. Step 5: Solve for x
    x = 38,236,721,738.34/208,412.60
  6. Step 6: Final answer
    x = 183,466.46

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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.