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Finding the Fourth Proportional to 72,090, 99,476.91 and 41,462.28

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Solution

The fourth proportional to 72,090, 99,476.91 and 41,462.28 is: 57,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,090 : 99,476.91 = 41,462.28 : x
  2. Step 2: Convert to fraction form
    72,090/99,476.91 = 41,462.28/x
  3. Step 3: Cross multiply
    72,090x = 99,476.91 × 41,462.28
  4. Step 4: Simplify right side
    72,090x = 4,124,539,495.95
  5. Step 5: Solve for x
    x = 4,124,539,495.95/72,090
  6. Step 6: Final answer
    x = 57,213.75

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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.