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Finding the Fourth Proportional to 78,077.64, 117,116.04 and 18,913.28

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Solution

The fourth proportional to 78,077.64, 117,116.04 and 18,913.28 is: 28,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.64 : 117,116.04 = 18,913.28 : x
  2. Step 2: Convert to fraction form
    78,077.64/117,116.04 = 18,913.28/x
  3. Step 3: Cross multiply
    78,077.64x = 117,116.04 × 18,913.28
  4. Step 4: Simplify right side
    78,077.64x = 2,215,048,457.01
  5. Step 5: Solve for x
    x = 2,215,048,457.01/78,077.64
  6. Step 6: Final answer
    x = 28,369.82

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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.