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Finding the Fourth Proportional to 105,689.70, 145,860.98 and 57,952.35

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Solution

The fourth proportional to 105,689.70, 145,860.98 and 57,952.35 is: 79,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,689.70 : 145,860.98 = 57,952.35 : x
  2. Step 2: Convert to fraction form
    105,689.70/145,860.98 = 57,952.35/x
  3. Step 3: Cross multiply
    105,689.70x = 145,860.98 × 57,952.35
  4. Step 4: Simplify right side
    105,689.70x = 8,452,986,274.54
  5. Step 5: Solve for x
    x = 8,452,986,274.54/105,689.70
  6. Step 6: Final answer
    x = 79,979.28

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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.