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Finding the Fourth Proportional to 78,672.96, 118,007.82 and 19,507.95

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Solution

The fourth proportional to 78,672.96, 118,007.82 and 19,507.95 is: 29,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,672.96 : 118,007.82 = 19,507.95 : x
  2. Step 2: Convert to fraction form
    78,672.96/118,007.82 = 19,507.95/x
  3. Step 3: Cross multiply
    78,672.96x = 118,007.82 × 19,507.95
  4. Step 4: Simplify right side
    78,672.96x = 2,302,090,652.17
  5. Step 5: Solve for x
    x = 2,302,090,652.17/78,672.96
  6. Step 6: Final answer
    x = 29,261.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.