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Finding the Fourth Proportional to 78,114.04, 107,808.11 and 47,894.02

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Solution

The fourth proportional to 78,114.04, 107,808.11 and 47,894.02 is: 66,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.04 : 107,808.11 = 47,894.02 : x
  2. Step 2: Convert to fraction form
    78,114.04/107,808.11 = 47,894.02/x
  3. Step 3: Cross multiply
    78,114.04x = 107,808.11 × 47,894.02
  4. Step 4: Simplify right side
    78,114.04x = 5,163,363,776.50
  5. Step 5: Solve for x
    x = 5,163,363,776.50/78,114.04
  6. Step 6: Final answer
    x = 66,100.33

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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.