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Finding the Fourth Proportional to 78,732, 108,654.48 and 45,200.16

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Solution

The fourth proportional to 78,732, 108,654.48 and 45,200.16 is: 62,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732 : 108,654.48 = 45,200.16 : x
  2. Step 2: Convert to fraction form
    78,732/108,654.48 = 45,200.16/x
  3. Step 3: Cross multiply
    78,732x = 108,654.48 × 45,200.16
  4. Step 4: Simplify right side
    78,732x = 4,911,199,880.72
  5. Step 5: Solve for x
    x = 4,911,199,880.72/78,732
  6. Step 6: Final answer
    x = 62,378.70

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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.