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Finding the Fourth Proportional to 105,090.80, 145,028.81 and 57,346.77

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Solution

The fourth proportional to 105,090.80, 145,028.81 and 57,346.77 is: 79,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090.80 : 145,028.81 = 57,346.77 : x
  2. Step 2: Convert to fraction form
    105,090.80/145,028.81 = 57,346.77/x
  3. Step 3: Cross multiply
    105,090.80x = 145,028.81 × 57,346.77
  4. Step 4: Simplify right side
    105,090.80x = 8,316,933,161.14
  5. Step 5: Solve for x
    x = 8,316,933,161.14/105,090.80
  6. Step 6: Final answer
    x = 79,140.45

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1.5x scale

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.