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Finding the Fourth Proportional to 100,703.02, 138,971.06 and 54,762.82

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Solution

The fourth proportional to 100,703.02, 138,971.06 and 54,762.82 is: 75,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,703.02 : 138,971.06 = 54,762.82 : x
  2. Step 2: Convert to fraction form
    100,703.02/138,971.06 = 54,762.82/x
  3. Step 3: Cross multiply
    100,703.02x = 138,971.06 × 54,762.82
  4. Step 4: Simplify right side
    100,703.02x = 7,610,447,143.99
  5. Step 5: Solve for x
    x = 7,610,447,143.99/100,703.02
  6. Step 6: Final answer
    x = 75,573.18

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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.