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Finding the Fourth Proportional to 78,477.20, 117,715.80 and 51,905.15

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Solution

The fourth proportional to 78,477.20, 117,715.80 and 51,905.15 is: 77,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,477.20 : 117,715.80 = 51,905.15 : x
  2. Step 2: Convert to fraction form
    78,477.20/117,715.80 = 51,905.15/x
  3. Step 3: Cross multiply
    78,477.20x = 117,715.80 × 51,905.15
  4. Step 4: Simplify right side
    78,477.20x = 6,110,056,256.37
  5. Step 5: Solve for x
    x = 6,110,056,256.37/78,477.20
  6. Step 6: Final answer
    x = 77,857.73

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1.5x scale

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.