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Finding the Fourth Proportional to 78,200.10, 117,300.15 and 48,602.70

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Solution

The fourth proportional to 78,200.10, 117,300.15 and 48,602.70 is: 72,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.10 : 117,300.15 = 48,602.70 : x
  2. Step 2: Convert to fraction form
    78,200.10/117,300.15 = 48,602.70/x
  3. Step 3: Cross multiply
    78,200.10x = 117,300.15 × 48,602.70
  4. Step 4: Simplify right side
    78,200.10x = 5,701,104,000.41
  5. Step 5: Solve for x
    x = 5,701,104,000.41/78,200.10
  6. Step 6: Final answer
    x = 72,904.05

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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.