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Finding the Fourth Proportional to 83,541, 115,286.64 and 45,815.40

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Solution

The fourth proportional to 83,541, 115,286.64 and 45,815.40 is: 63,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,541 : 115,286.64 = 45,815.40 : x
  2. Step 2: Convert to fraction form
    83,541/115,286.64 = 45,815.40/x
  3. Step 3: Cross multiply
    83,541x = 115,286.64 × 45,815.40
  4. Step 4: Simplify right side
    83,541x = 5,281,903,526.26
  5. Step 5: Solve for x
    x = 5,281,903,526.26/83,541
  6. Step 6: Final answer
    x = 63,225.28

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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.