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Finding the Fourth Proportional to 138,907.62, 191,681.12 and 78,483.50

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Solution

The fourth proportional to 138,907.62, 191,681.12 and 78,483.50 is: 108,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.62 : 191,681.12 = 78,483.50 : x
  2. Step 2: Convert to fraction form
    138,907.62/191,681.12 = 78,483.50/x
  3. Step 3: Cross multiply
    138,907.62x = 191,681.12 × 78,483.50
  4. Step 4: Simplify right side
    138,907.62x = 15,043,805,181.52
  5. Step 5: Solve for x
    x = 15,043,805,181.52/138,907.62
  6. Step 6: Final answer
    x = 108,300.79

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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.