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Finding the Fourth Proportional to 123,889.04, 170,941.64 and 75,458.48

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Solution

The fourth proportional to 123,889.04, 170,941.64 and 75,458.48 is: 104,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,889.04 : 170,941.64 = 75,458.48 : x
  2. Step 2: Convert to fraction form
    123,889.04/170,941.64 = 75,458.48/x
  3. Step 3: Cross multiply
    123,889.04x = 170,941.64 × 75,458.48
  4. Step 4: Simplify right side
    123,889.04x = 12,898,996,323.11
  5. Step 5: Solve for x
    x = 12,898,996,323.11/123,889.04
  6. Step 6: Final answer
    x = 104,117.33

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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.