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Finding the Fourth Proportional to 106,815, 160,082.28 and 78,602.96

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Solution

The fourth proportional to 106,815, 160,082.28 and 78,602.96 is: 117,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,815 : 160,082.28 = 78,602.96 : x
  2. Step 2: Convert to fraction form
    106,815/160,082.28 = 78,602.96/x
  3. Step 3: Cross multiply
    106,815x = 160,082.28 × 78,602.96
  4. Step 4: Simplify right side
    106,815x = 12,582,941,051.55
  5. Step 5: Solve for x
    x = 12,582,941,051.55/106,815
  6. Step 6: Final answer
    x = 117,801.25

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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.