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Finding the Fourth Proportional to 78,110.64, 117,114.12 and 25,501.68

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Solution

The fourth proportional to 78,110.64, 117,114.12 and 25,501.68 is: 38,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,110.64 : 117,114.12 = 25,501.68 : x
  2. Step 2: Convert to fraction form
    78,110.64/117,114.12 = 25,501.68/x
  3. Step 3: Cross multiply
    78,110.64x = 117,114.12 × 25,501.68
  4. Step 4: Simplify right side
    78,110.64x = 2,986,606,811.72
  5. Step 5: Solve for x
    x = 2,986,606,811.72/78,110.64
  6. Step 6: Final answer
    x = 38,235.60

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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.