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Finding the Fourth Proportional to 74,634.66, 102,996 and 40,643.46

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Solution

The fourth proportional to 74,634.66, 102,996 and 40,643.46 is: 56,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,634.66 : 102,996 = 40,643.46 : x
  2. Step 2: Convert to fraction form
    74,634.66/102,996 = 40,643.46/x
  3. Step 3: Cross multiply
    74,634.66x = 102,996 × 40,643.46
  4. Step 4: Simplify right side
    74,634.66x = 4,186,113,806.16
  5. Step 5: Solve for x
    x = 4,186,113,806.16/74,634.66
  6. Step 6: Final answer
    x = 56,088.07

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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.