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Finding the Fourth Proportional to 74,258, 102,476.04 and 40,724

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Solution

The fourth proportional to 74,258, 102,476.04 and 40,724 is: 56,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,258 : 102,476.04 = 40,724 : x
  2. Step 2: Convert to fraction form
    74,258/102,476.04 = 40,724/x
  3. Step 3: Cross multiply
    74,258x = 102,476.04 × 40,724
  4. Step 4: Simplify right side
    74,258x = 4,173,234,252.96
  5. Step 5: Solve for x
    x = 4,173,234,252.96/74,258
  6. Step 6: Final answer
    x = 56,199.12

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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.