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Finding the Fourth Proportional to 78,771.36, 108,740.88 and 48,562.08

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Solution

The fourth proportional to 78,771.36, 108,740.88 and 48,562.08 is: 67,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,771.36 : 108,740.88 = 48,562.08 : x
  2. Step 2: Convert to fraction form
    78,771.36/108,740.88 = 48,562.08/x
  3. Step 3: Cross multiply
    78,771.36x = 108,740.88 × 48,562.08
  4. Step 4: Simplify right side
    78,771.36x = 5,280,683,313.83
  5. Step 5: Solve for x
    x = 5,280,683,313.83/78,771.36
  6. Step 6: Final answer
    x = 67,038.11

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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.