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Finding the Fourth Proportional to 78,165.80, 107,901.06 and 55,840.04

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Solution

The fourth proportional to 78,165.80, 107,901.06 and 55,840.04 is: 77,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.80 : 107,901.06 = 55,840.04 : x
  2. Step 2: Convert to fraction form
    78,165.80/107,901.06 = 55,840.04/x
  3. Step 3: Cross multiply
    78,165.80x = 107,901.06 × 55,840.04
  4. Step 4: Simplify right side
    78,165.80x = 6,025,199,506.44
  5. Step 5: Solve for x
    x = 6,025,199,506.44/78,165.80
  6. Step 6: Final answer
    x = 77,082.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.