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Finding the Fourth Proportional to 130,029.80, 194,655.90 and 77,412.20

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Solution

The fourth proportional to 130,029.80, 194,655.90 and 77,412.20 is: 115,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,029.80 : 194,655.90 = 77,412.20 : x
  2. Step 2: Convert to fraction form
    130,029.80/194,655.90 = 77,412.20/x
  3. Step 3: Cross multiply
    130,029.80x = 194,655.90 × 77,412.20
  4. Step 4: Simplify right side
    130,029.80x = 15,068,741,461.98
  5. Step 5: Solve for x
    x = 15,068,741,461.98/130,029.80
  6. Step 6: Final answer
    x = 115,886.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.