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Finding the Fourth Proportional to 74,026, 102,155.88 and 40,492

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Solution

The fourth proportional to 74,026, 102,155.88 and 40,492 is: 55,878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,026 : 102,155.88 = 40,492 : x
  2. Step 2: Convert to fraction form
    74,026/102,155.88 = 40,492/x
  3. Step 3: Cross multiply
    74,026x = 102,155.88 × 40,492
  4. Step 4: Simplify right side
    74,026x = 4,136,495,892.96
  5. Step 5: Solve for x
    x = 4,136,495,892.96/74,026
  6. Step 6: Final answer
    x = 55,878.96

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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.