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Finding the Fourth Proportional to 78,470.94, 108,254.16 and 46,621.74

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Solution

The fourth proportional to 78,470.94, 108,254.16 and 46,621.74 is: 64,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.94 : 108,254.16 = 46,621.74 : x
  2. Step 2: Convert to fraction form
    78,470.94/108,254.16 = 46,621.74/x
  3. Step 3: Cross multiply
    78,470.94x = 108,254.16 × 46,621.74
  4. Step 4: Simplify right side
    78,470.94x = 5,046,997,301.44
  5. Step 5: Solve for x
    x = 5,046,997,301.44/78,470.94
  6. Step 6: Final answer
    x = 64,316.77

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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.