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Finding the Fourth Proportional to 83,313.18, 114,929.28 and 56,446.56

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Solution

The fourth proportional to 83,313.18, 114,929.28 and 56,446.56 is: 77,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313.18 : 114,929.28 = 56,446.56 : x
  2. Step 2: Convert to fraction form
    83,313.18/114,929.28 = 56,446.56/x
  3. Step 3: Cross multiply
    83,313.18x = 114,929.28 × 56,446.56
  4. Step 4: Simplify right side
    83,313.18x = 6,487,362,499.28
  5. Step 5: Solve for x
    x = 6,487,362,499.28/83,313.18
  6. Step 6: Final answer
    x = 77,867.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.