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Finding the Fourth Proportional to 178,758.40, 268,118.40 and 47,430.40

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Solution

The fourth proportional to 178,758.40, 268,118.40 and 47,430.40 is: 71,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,758.40 : 268,118.40 = 47,430.40 : x
  2. Step 2: Convert to fraction form
    178,758.40/268,118.40 = 47,430.40/x
  3. Step 3: Cross multiply
    178,758.40x = 268,118.40 × 47,430.40
  4. Step 4: Simplify right side
    178,758.40x = 12,716,962,959.36
  5. Step 5: Solve for x
    x = 12,716,962,959.36/178,758.40
  6. Step 6: Final answer
    x = 71,140.51

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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.