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Finding the Fourth Proportional to 123,483.61, 170,415.26 and 75,730.47

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Solution

The fourth proportional to 123,483.61, 170,415.26 and 75,730.47 is: 104,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,483.61 : 170,415.26 = 75,730.47 : x
  2. Step 2: Convert to fraction form
    123,483.61/170,415.26 = 75,730.47/x
  3. Step 3: Cross multiply
    123,483.61x = 170,415.26 × 75,730.47
  4. Step 4: Simplify right side
    123,483.61x = 12,905,627,734.97
  5. Step 5: Solve for x
    x = 12,905,627,734.97/123,483.61
  6. Step 6: Final answer
    x = 104,512.88

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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.