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Finding the Fourth Proportional to 210,960.56, 316,441.08 and 77,783.12

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Solution

The fourth proportional to 210,960.56, 316,441.08 and 77,783.12 is: 116,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,960.56 : 316,441.08 = 77,783.12 : x
  2. Step 2: Convert to fraction form
    210,960.56/316,441.08 = 77,783.12/x
  3. Step 3: Cross multiply
    210,960.56x = 316,441.08 × 77,783.12
  4. Step 4: Simplify right side
    210,960.56x = 24,613,774,498.57
  5. Step 5: Solve for x
    x = 24,613,774,498.57/210,960.56
  6. Step 6: Final answer
    x = 116,674.77

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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.