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Finding the Fourth Proportional to 153,807.96, 230,295.02 and 79,780.44

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Solution

The fourth proportional to 153,807.96, 230,295.02 and 79,780.44 is: 119,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,807.96 : 230,295.02 = 79,780.44 : x
  2. Step 2: Convert to fraction form
    153,807.96/230,295.02 = 79,780.44/x
  3. Step 3: Cross multiply
    153,807.96x = 230,295.02 × 79,780.44
  4. Step 4: Simplify right side
    153,807.96x = 18,373,038,025.41
  5. Step 5: Solve for x
    x = 18,373,038,025.41/153,807.96
  6. Step 6: Final answer
    x = 119,454.40

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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.