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Finding the Fourth Proportional to 105,464.84, 145,541.21 and 57,717.77

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Solution

The fourth proportional to 105,464.84, 145,541.21 and 57,717.77 is: 79,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,464.84 : 145,541.21 = 57,717.77 : x
  2. Step 2: Convert to fraction form
    105,464.84/145,541.21 = 57,717.77/x
  3. Step 3: Cross multiply
    105,464.84x = 145,541.21 × 57,717.77
  4. Step 4: Simplify right side
    105,464.84x = 8,400,313,068.01
  5. Step 5: Solve for x
    x = 8,400,313,068.01/105,464.84
  6. Step 6: Final answer
    x = 79,650.37

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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.