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Finding the Fourth Proportional to 210,967.56, 316,451.58 and 77,790.12

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Solution

The fourth proportional to 210,967.56, 316,451.58 and 77,790.12 is: 116,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,967.56 : 316,451.58 = 77,790.12 : x
  2. Step 2: Convert to fraction form
    210,967.56/316,451.58 = 77,790.12/x
  3. Step 3: Cross multiply
    210,967.56x = 316,451.58 × 77,790.12
  4. Step 4: Simplify right side
    210,967.56x = 24,616,806,382.39
  5. Step 5: Solve for x
    x = 24,616,806,382.39/210,967.56
  6. Step 6: Final answer
    x = 116,685.27

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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.