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Finding the Fourth Proportional to 113,097.68, 156,045 and 77,247.44

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Solution

The fourth proportional to 113,097.68, 156,045 and 77,247.44 is: 106,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,097.68 : 156,045 = 77,247.44 : x
  2. Step 2: Convert to fraction form
    113,097.68/156,045 = 77,247.44/x
  3. Step 3: Cross multiply
    113,097.68x = 156,045 × 77,247.44
  4. Step 4: Simplify right side
    113,097.68x = 12,054,076,774.80
  5. Step 5: Solve for x
    x = 12,054,076,774.80/113,097.68
  6. Step 6: Final answer
    x = 106,581.11

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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.