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Finding the Fourth Proportional to 105,130.71, 145,080.99 and 57,383.01

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Solution

The fourth proportional to 105,130.71, 145,080.99 and 57,383.01 is: 79,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,130.71 : 145,080.99 = 57,383.01 : x
  2. Step 2: Convert to fraction form
    105,130.71/145,080.99 = 57,383.01/x
  3. Step 3: Cross multiply
    105,130.71x = 145,080.99 × 57,383.01
  4. Step 4: Simplify right side
    105,130.71x = 8,325,183,899.98
  5. Step 5: Solve for x
    x = 8,325,183,899.98/105,130.71
  6. Step 6: Final answer
    x = 79,188.89

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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.