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Finding the Fourth Proportional to 78,557.76, 117,836.64 and 37,008

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Solution

The fourth proportional to 78,557.76, 117,836.64 and 37,008 is: 55,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,557.76 : 117,836.64 = 37,008 : x
  2. Step 2: Convert to fraction form
    78,557.76/117,836.64 = 37,008/x
  3. Step 3: Cross multiply
    78,557.76x = 117,836.64 × 37,008
  4. Step 4: Simplify right side
    78,557.76x = 4,360,898,373.12
  5. Step 5: Solve for x
    x = 4,360,898,373.12/78,557.76
  6. Step 6: Final answer
    x = 55,512

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.