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Finding the Fourth Proportional to 153,219.06, 229,970.79 and 78,392.79

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Solution

The fourth proportional to 153,219.06, 229,970.79 and 78,392.79 is: 117,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,219.06 : 229,970.79 = 78,392.79 : x
  2. Step 2: Convert to fraction form
    153,219.06/229,970.79 = 78,392.79/x
  3. Step 3: Cross multiply
    153,219.06x = 229,970.79 × 78,392.79
  4. Step 4: Simplify right side
    153,219.06x = 18,028,051,846.60
  5. Step 5: Solve for x
    x = 18,028,051,846.60/153,219.06
  6. Step 6: Final answer
    x = 117,661.94

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1.5x scale

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.