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Finding the Fourth Proportional to 194,671, 292,038.09 and 76,278.16

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Solution

The fourth proportional to 194,671, 292,038.09 and 76,278.16 is: 114,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,671 : 292,038.09 = 76,278.16 : x
  2. Step 2: Convert to fraction form
    194,671/292,038.09 = 76,278.16/x
  3. Step 3: Cross multiply
    194,671x = 292,038.09 × 76,278.16
  4. Step 4: Simplify right side
    194,671x = 22,276,128,155.11
  5. Step 5: Solve for x
    x = 22,276,128,155.11/194,671
  6. Step 6: Final answer
    x = 114,429.62

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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.