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Finding the Fourth Proportional to 211,024.98, 316,435.41 and 77,967.90

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Solution

The fourth proportional to 211,024.98, 316,435.41 and 77,967.90 is: 116,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,024.98 : 316,435.41 = 77,967.90 : x
  2. Step 2: Convert to fraction form
    211,024.98/316,435.41 = 77,967.90/x
  3. Step 3: Cross multiply
    211,024.98x = 316,435.41 × 77,967.90
  4. Step 4: Simplify right side
    211,024.98x = 24,671,804,403.34
  5. Step 5: Solve for x
    x = 24,671,804,403.34/211,024.98
  6. Step 6: Final answer
    x = 116,914.14

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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.