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Finding the Fourth Proportional to 210,178.65, 314,921.70 and 121,277.10

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Solution

The fourth proportional to 210,178.65, 314,921.70 and 121,277.10 is: 181,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,178.65 : 314,921.70 = 121,277.10 : x
  2. Step 2: Convert to fraction form
    210,178.65/314,921.70 = 121,277.10/x
  3. Step 3: Cross multiply
    210,178.65x = 314,921.70 × 121,277.10
  4. Step 4: Simplify right side
    210,178.65x = 38,192,790,503.07
  5. Step 5: Solve for x
    x = 38,192,790,503.07/210,178.65
  6. Step 6: Final answer
    x = 181,715.84

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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.