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Finding the Fourth Proportional to 105,406.80, 145,460.21 and 57,659.58

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Solution

The fourth proportional to 105,406.80, 145,460.21 and 57,659.58 is: 79,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,406.80 : 145,460.21 = 57,659.58 : x
  2. Step 2: Convert to fraction form
    105,406.80/145,460.21 = 57,659.58/x
  3. Step 3: Cross multiply
    105,406.80x = 145,460.21 × 57,659.58
  4. Step 4: Simplify right side
    105,406.80x = 8,387,174,327.01
  5. Step 5: Solve for x
    x = 8,387,174,327.01/105,406.80
  6. Step 6: Final answer
    x = 79,569.58

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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.