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Finding the Fourth Proportional to 106,410.40, 159,586.80 and 31,530.40

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Solution

The fourth proportional to 106,410.40, 159,586.80 and 31,530.40 is: 47,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410.40 : 159,586.80 = 31,530.40 : x
  2. Step 2: Convert to fraction form
    106,410.40/159,586.80 = 31,530.40/x
  3. Step 3: Cross multiply
    106,410.40x = 159,586.80 × 31,530.40
  4. Step 4: Simplify right side
    106,410.40x = 5,031,835,638.72
  5. Step 5: Solve for x
    x = 5,031,835,638.72/106,410.40
  6. Step 6: Final answer
    x = 47,287.07

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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.