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Finding the Fourth Proportional to 194,672, 292,039.60 and 76,279.16

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Solution

The fourth proportional to 194,672, 292,039.60 and 76,279.16 is: 114,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,672 : 292,039.60 = 76,279.16 : x
  2. Step 2: Convert to fraction form
    194,672/292,039.60 = 76,279.16/x
  3. Step 3: Cross multiply
    194,672x = 292,039.60 × 76,279.16
  4. Step 4: Simplify right side
    194,672x = 22,276,535,374.74
  5. Step 5: Solve for x
    x = 22,276,535,374.74/194,672
  6. Step 6: Final answer
    x = 114,431.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.