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Finding the Fourth Proportional to 130,124.40, 194,603.40 and 109,129.20

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Solution

The fourth proportional to 130,124.40, 194,603.40 and 109,129.20 is: 163,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,124.40 : 194,603.40 = 109,129.20 : x
  2. Step 2: Convert to fraction form
    130,124.40/194,603.40 = 109,129.20/x
  3. Step 3: Cross multiply
    130,124.40x = 194,603.40 × 109,129.20
  4. Step 4: Simplify right side
    130,124.40x = 21,236,913,359.28
  5. Step 5: Solve for x
    x = 21,236,913,359.28/130,124.40
  6. Step 6: Final answer
    x = 163,204.70

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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.