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Finding the Fourth Proportional to 158,780.80, 238,208 and 70,059.52

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Solution

The fourth proportional to 158,780.80, 238,208 and 70,059.52 is: 105,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,780.80 : 238,208 = 70,059.52 : x
  2. Step 2: Convert to fraction form
    158,780.80/238,208 = 70,059.52/x
  3. Step 3: Cross multiply
    158,780.80x = 238,208 × 70,059.52
  4. Step 4: Simplify right side
    158,780.80x = 16,688,738,140.16
  5. Step 5: Solve for x
    x = 16,688,738,140.16/158,780.80
  6. Step 6: Final answer
    x = 105,105.52

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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.