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Finding the Fourth Proportional to 74,517.84, 102,534.40 and 72,746.40

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Solution

The fourth proportional to 74,517.84, 102,534.40 and 72,746.40 is: 100,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,517.84 : 102,534.40 = 72,746.40 : x
  2. Step 2: Convert to fraction form
    74,517.84/102,534.40 = 72,746.40/x
  3. Step 3: Cross multiply
    74,517.84x = 102,534.40 × 72,746.40
  4. Step 4: Simplify right side
    74,517.84x = 7,459,008,476.16
  5. Step 5: Solve for x
    x = 7,459,008,476.16/74,517.84
  6. Step 6: Final answer
    x = 100,096.95

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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.