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Finding the Fourth Proportional to 189,095.10, 283,642.65 and 105,978.30

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Solution

The fourth proportional to 189,095.10, 283,642.65 and 105,978.30 is: 158,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,095.10 : 283,642.65 = 105,978.30 : x
  2. Step 2: Convert to fraction form
    189,095.10/283,642.65 = 105,978.30/x
  3. Step 3: Cross multiply
    189,095.10x = 283,642.65 × 105,978.30
  4. Step 4: Simplify right side
    189,095.10x = 30,059,965,854.50
  5. Step 5: Solve for x
    x = 30,059,965,854.50/189,095.10
  6. Step 6: Final answer
    x = 158,967.45

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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.