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Finding the Fourth Proportional to 105,465.80, 145,542.86 and 57,719.12

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Solution

The fourth proportional to 105,465.80, 145,542.86 and 57,719.12 is: 79,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,465.80 : 145,542.86 = 57,719.12 : x
  2. Step 2: Convert to fraction form
    105,465.80/145,542.86 = 57,719.12/x
  3. Step 3: Cross multiply
    105,465.80x = 145,542.86 × 57,719.12
  4. Step 4: Simplify right side
    105,465.80x = 8,400,605,801.48
  5. Step 5: Solve for x
    x = 8,400,605,801.48/105,465.80
  6. Step 6: Final answer
    x = 79,652.42

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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.