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Finding the Fourth Proportional to 189,307.64, 284,070 and 76,967.12

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Solution

The fourth proportional to 189,307.64, 284,070 and 76,967.12 is: 115,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,307.64 : 284,070 = 76,967.12 : x
  2. Step 2: Convert to fraction form
    189,307.64/284,070 = 76,967.12/x
  3. Step 3: Cross multiply
    189,307.64x = 284,070 × 76,967.12
  4. Step 4: Simplify right side
    189,307.64x = 21,864,049,778.40
  5. Step 5: Solve for x
    x = 21,864,049,778.40/189,307.64
  6. Step 6: Final answer
    x = 115,494.81

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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.