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Finding the Fourth Proportional to 78,007.60, 117,009.60 and 25,416.70

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Solution

The fourth proportional to 78,007.60, 117,009.60 and 25,416.70 is: 38,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,007.60 : 117,009.60 = 25,416.70 : x
  2. Step 2: Convert to fraction form
    78,007.60/117,009.60 = 25,416.70/x
  3. Step 3: Cross multiply
    78,007.60x = 117,009.60 × 25,416.70
  4. Step 4: Simplify right side
    78,007.60x = 2,973,997,900.32
  5. Step 5: Solve for x
    x = 2,973,997,900.32/78,007.60
  6. Step 6: Final answer
    x = 38,124.46

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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.