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Finding the Fourth Proportional to 74,026.71, 102,159.32 and 40,492.71

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Solution

The fourth proportional to 74,026.71, 102,159.32 and 40,492.71 is: 55,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,026.71 : 102,159.32 = 40,492.71 : x
  2. Step 2: Convert to fraction form
    74,026.71/102,159.32 = 40,492.71/x
  3. Step 3: Cross multiply
    74,026.71x = 102,159.32 × 40,492.71
  4. Step 4: Simplify right side
    74,026.71x = 4,136,707,516.09
  5. Step 5: Solve for x
    x = 4,136,707,516.09/74,026.71
  6. Step 6: Final answer
    x = 55,881.28

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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.