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Finding the Fourth Proportional to 116,482.82, 160,523.90 and 100,345.06

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Solution

The fourth proportional to 116,482.82, 160,523.90 and 100,345.06 is: 138,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,482.82 : 160,523.90 = 100,345.06 : x
  2. Step 2: Convert to fraction form
    116,482.82/160,523.90 = 100,345.06/x
  3. Step 3: Cross multiply
    116,482.82x = 160,523.90 × 100,345.06
  4. Step 4: Simplify right side
    116,482.82x = 16,107,780,376.93
  5. Step 5: Solve for x
    x = 16,107,780,376.93/116,482.82
  6. Step 6: Final answer
    x = 138,284.60

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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.