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Finding the Fourth Proportional to 105,210.54, 145,190.54 and 57,464.01

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Solution

The fourth proportional to 105,210.54, 145,190.54 and 57,464.01 is: 79,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,210.54 : 145,190.54 = 57,464.01 : x
  2. Step 2: Convert to fraction form
    105,210.54/145,190.54 = 57,464.01/x
  3. Step 3: Cross multiply
    105,210.54x = 145,190.54 × 57,464.01
  4. Step 4: Simplify right side
    105,210.54x = 8,343,230,786.13
  5. Step 5: Solve for x
    x = 8,343,230,786.13/105,210.54
  6. Step 6: Final answer
    x = 79,300.33

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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.