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Finding the Fourth Proportional to 78,458.69, 108,264.90 and 46,621.44

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Solution

The fourth proportional to 78,458.69, 108,264.90 and 46,621.44 is: 64,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.69 : 108,264.90 = 46,621.44 : x
  2. Step 2: Convert to fraction form
    78,458.69/108,264.90 = 46,621.44/x
  3. Step 3: Cross multiply
    78,458.69x = 108,264.90 × 46,621.44
  4. Step 4: Simplify right side
    78,458.69x = 5,047,465,714.29
  5. Step 5: Solve for x
    x = 5,047,465,714.29/78,458.69
  6. Step 6: Final answer
    x = 64,332.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.