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Finding the Fourth Proportional to 210,816.54, 316,267.11 and 77,697.45

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Solution

The fourth proportional to 210,816.54, 316,267.11 and 77,697.45 is: 116,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816.54 : 316,267.11 = 77,697.45 : x
  2. Step 2: Convert to fraction form
    210,816.54/316,267.11 = 77,697.45/x
  3. Step 3: Cross multiply
    210,816.54x = 316,267.11 × 77,697.45
  4. Step 4: Simplify right side
    210,816.54x = 24,573,147,965.87
  5. Step 5: Solve for x
    x = 24,573,147,965.87/210,816.54
  6. Step 6: Final answer
    x = 116,561.76

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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.