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Finding the Fourth Proportional to 72,678.40, 109,043.20 and 70,118.40

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Solution

The fourth proportional to 72,678.40, 109,043.20 and 70,118.40 is: 105,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678.40 : 109,043.20 = 70,118.40 : x
  2. Step 2: Convert to fraction form
    72,678.40/109,043.20 = 70,118.40/x
  3. Step 3: Cross multiply
    72,678.40x = 109,043.20 × 70,118.40
  4. Step 4: Simplify right side
    72,678.40x = 7,645,934,714.88
  5. Step 5: Solve for x
    x = 7,645,934,714.88/72,678.40
  6. Step 6: Final answer
    x = 105,202.30

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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.