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Finding the Fourth Proportional to 134,083.98, 185,015.34 and 77,484.42

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Solution

The fourth proportional to 134,083.98, 185,015.34 and 77,484.42 is: 106,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,083.98 : 185,015.34 = 77,484.42 : x
  2. Step 2: Convert to fraction form
    134,083.98/185,015.34 = 77,484.42/x
  3. Step 3: Cross multiply
    134,083.98x = 185,015.34 × 77,484.42
  4. Step 4: Simplify right side
    134,083.98x = 14,335,806,311.00
  5. Step 5: Solve for x
    x = 14,335,806,311.00/134,083.98
  6. Step 6: Final answer
    x = 106,916.62

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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.