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Finding the Fourth Proportional to 78,130.64, 117,142.64 and 37,582.75

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Solution

The fourth proportional to 78,130.64, 117,142.64 and 37,582.75 is: 56,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,130.64 : 117,142.64 = 37,582.75 : x
  2. Step 2: Convert to fraction form
    78,130.64/117,142.64 = 37,582.75/x
  3. Step 3: Cross multiply
    78,130.64x = 117,142.64 × 37,582.75
  4. Step 4: Simplify right side
    78,130.64x = 4,402,542,652.91
  5. Step 5: Solve for x
    x = 4,402,542,652.91/78,130.64
  6. Step 6: Final answer
    x = 56,348.48

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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.