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Finding the Fourth Proportional to 78,200.16, 107,829.84 and 70,644.48

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Solution

The fourth proportional to 78,200.16, 107,829.84 and 70,644.48 is: 97,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.16 : 107,829.84 = 70,644.48 : x
  2. Step 2: Convert to fraction form
    78,200.16/107,829.84 = 70,644.48/x
  3. Step 3: Cross multiply
    78,200.16x = 107,829.84 × 70,644.48
  4. Step 4: Simplify right side
    78,200.16x = 7,617,582,975.28
  5. Step 5: Solve for x
    x = 7,617,582,975.28/78,200.16
  6. Step 6: Final answer
    x = 97,411.35

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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.