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Finding the Fourth Proportional to 210,816.88, 316,349.94 and 77,790.64

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Solution

The fourth proportional to 210,816.88, 316,349.94 and 77,790.64 is: 116,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816.88 : 316,349.94 = 77,790.64 : x
  2. Step 2: Convert to fraction form
    210,816.88/316,349.94 = 77,790.64/x
  3. Step 3: Cross multiply
    210,816.88x = 316,349.94 × 77,790.64
  4. Step 4: Simplify right side
    210,816.88x = 24,609,064,296.56
  5. Step 5: Solve for x
    x = 24,609,064,296.56/210,816.88
  6. Step 6: Final answer
    x = 116,731.94

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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.