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Finding the Fourth Proportional to 210,989.82, 316,475.01 and 77,861.46

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Solution

The fourth proportional to 210,989.82, 316,475.01 and 77,861.46 is: 116,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,989.82 : 316,475.01 = 77,861.46 : x
  2. Step 2: Convert to fraction form
    210,989.82/316,475.01 = 77,861.46/x
  3. Step 3: Cross multiply
    210,989.82x = 316,475.01 × 77,861.46
  4. Step 4: Simplify right side
    210,989.82x = 24,641,206,332.11
  5. Step 5: Solve for x
    x = 24,641,206,332.11/210,989.82
  6. Step 6: Final answer
    x = 116,788.60

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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.