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Finding the Fourth Proportional to 156,378, 215,800.41 and 84,756.18

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Solution

The fourth proportional to 156,378, 215,800.41 and 84,756.18 is: 116,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,378 : 215,800.41 = 84,756.18 : x
  2. Step 2: Convert to fraction form
    156,378/215,800.41 = 84,756.18/x
  3. Step 3: Cross multiply
    156,378x = 215,800.41 × 84,756.18
  4. Step 4: Simplify right side
    156,378x = 18,290,418,394.03
  5. Step 5: Solve for x
    x = 18,290,418,394.03/156,378
  6. Step 6: Final answer
    x = 116,962.86

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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.