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Finding the Fourth Proportional to 130,118.40, 194,870.40 and 88,339.20

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Solution

The fourth proportional to 130,118.40, 194,870.40 and 88,339.20 is: 132,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,118.40 : 194,870.40 = 88,339.20 : x
  2. Step 2: Convert to fraction form
    130,118.40/194,870.40 = 88,339.20/x
  3. Step 3: Cross multiply
    130,118.40x = 194,870.40 × 88,339.20
  4. Step 4: Simplify right side
    130,118.40x = 17,214,695,239.68
  5. Step 5: Solve for x
    x = 17,214,695,239.68/130,118.40
  6. Step 6: Final answer
    x = 132,300.24

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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.