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Finding the Fourth Proportional to 113,197.72, 156,213.80 and 70,780.84

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Solution

The fourth proportional to 113,197.72, 156,213.80 and 70,780.84 is: 97,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,197.72 : 156,213.80 = 70,780.84 : x
  2. Step 2: Convert to fraction form
    113,197.72/156,213.80 = 70,780.84/x
  3. Step 3: Cross multiply
    113,197.72x = 156,213.80 × 70,780.84
  4. Step 4: Simplify right side
    113,197.72x = 11,056,943,983.59
  5. Step 5: Solve for x
    x = 11,056,943,983.59/113,197.72
  6. Step 6: Final answer
    x = 97,678.15

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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.