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Finding the Fourth Proportional to 65,138.46, 89,893.63 and 42,492.48

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Solution

The fourth proportional to 65,138.46, 89,893.63 and 42,492.48 is: 58,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.46 : 89,893.63 = 42,492.48 : x
  2. Step 2: Convert to fraction form
    65,138.46/89,893.63 = 42,492.48/x
  3. Step 3: Cross multiply
    65,138.46x = 89,893.63 × 42,492.48
  4. Step 4: Simplify right side
    65,138.46x = 3,819,803,274.90
  5. Step 5: Solve for x
    x = 3,819,803,274.90/65,138.46
  6. Step 6: Final answer
    x = 58,641.29

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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.