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Finding the Fourth Proportional to 105,054.64, 144,977.46 and 57,309.76

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Solution

The fourth proportional to 105,054.64, 144,977.46 and 57,309.76 is: 79,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,054.64 : 144,977.46 = 57,309.76 : x
  2. Step 2: Convert to fraction form
    105,054.64/144,977.46 = 57,309.76/x
  3. Step 3: Cross multiply
    105,054.64x = 144,977.46 × 57,309.76
  4. Step 4: Simplify right side
    105,054.64x = 8,308,623,438.01
  5. Step 5: Solve for x
    x = 8,308,623,438.01/105,054.64
  6. Step 6: Final answer
    x = 79,088.59

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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.