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Finding the Fourth Proportional to 210,903.93, 316,385.96 and 77,773.86

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Solution

The fourth proportional to 210,903.93, 316,385.96 and 77,773.86 is: 116,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.93 : 316,385.96 = 77,773.86 : x
  2. Step 2: Convert to fraction form
    210,903.93/316,385.96 = 77,773.86/x
  3. Step 3: Cross multiply
    210,903.93x = 316,385.96 × 77,773.86
  4. Step 4: Simplify right side
    210,903.93x = 24,606,556,970.14
  5. Step 5: Solve for x
    x = 24,606,556,970.14/210,903.93
  6. Step 6: Final answer
    x = 116,671.88

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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.