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Finding the Fourth Proportional to 153,802.20, 230,621.04 and 78,891.72

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Solution

The fourth proportional to 153,802.20, 230,621.04 and 78,891.72 is: 118,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,802.20 : 230,621.04 = 78,891.72 : x
  2. Step 2: Convert to fraction form
    153,802.20/230,621.04 = 78,891.72/x
  3. Step 3: Cross multiply
    153,802.20x = 230,621.04 × 78,891.72
  4. Step 4: Simplify right side
    153,802.20x = 18,194,090,513.79
  5. Step 5: Solve for x
    x = 18,194,090,513.79/153,802.20
  6. Step 6: Final answer
    x = 118,295.39

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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.