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Finding the Fourth Proportional to 56,916, 85,374 and 19,954.08

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Solution

The fourth proportional to 56,916, 85,374 and 19,954.08 is: 29,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,916 : 85,374 = 19,954.08 : x
  2. Step 2: Convert to fraction form
    56,916/85,374 = 19,954.08/x
  3. Step 3: Cross multiply
    56,916x = 85,374 × 19,954.08
  4. Step 4: Simplify right side
    56,916x = 1,703,559,625.92
  5. Step 5: Solve for x
    x = 1,703,559,625.92/56,916
  6. Step 6: Final answer
    x = 29,931.12

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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.