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Finding the Fourth Proportional to 74,422, 102,703.98 and 40,888

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Solution

The fourth proportional to 74,422, 102,703.98 and 40,888 is: 56,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,422 : 102,703.98 = 40,888 : x
  2. Step 2: Convert to fraction form
    74,422/102,703.98 = 40,888/x
  3. Step 3: Cross multiply
    74,422x = 102,703.98 × 40,888
  4. Step 4: Simplify right side
    74,422x = 4,199,360,334.24
  5. Step 5: Solve for x
    x = 4,199,360,334.24/74,422
  6. Step 6: Final answer
    x = 56,426.33

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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.