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Finding the Fourth Proportional to 78,070, 116,814.52 and 68,537.38

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Solution

The fourth proportional to 78,070, 116,814.52 and 68,537.38 is: 102,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,070 : 116,814.52 = 68,537.38 : x
  2. Step 2: Convert to fraction form
    78,070/116,814.52 = 68,537.38/x
  3. Step 3: Cross multiply
    78,070x = 116,814.52 × 68,537.38
  4. Step 4: Simplify right side
    78,070x = 8,006,161,146.76
  5. Step 5: Solve for x
    x = 8,006,161,146.76/78,070
  6. Step 6: Final answer
    x = 102,551.06

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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.