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Finding the Fourth Proportional to 113,384.70, 156,492.54 and 75,076.68

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Solution

The fourth proportional to 113,384.70, 156,492.54 and 75,076.68 is: 103,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,384.70 : 156,492.54 = 75,076.68 : x
  2. Step 2: Convert to fraction form
    113,384.70/156,492.54 = 75,076.68/x
  3. Step 3: Cross multiply
    113,384.70x = 156,492.54 × 75,076.68
  4. Step 4: Simplify right side
    113,384.70x = 11,748,940,347.97
  5. Step 5: Solve for x
    x = 11,748,940,347.97/113,384.70
  6. Step 6: Final answer
    x = 103,620.16

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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.