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Finding the Fourth Proportional to 78,834.66, 118,288.92 and 34,455.66

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Solution

The fourth proportional to 78,834.66, 118,288.92 and 34,455.66 is: 51,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834.66 : 118,288.92 = 34,455.66 : x
  2. Step 2: Convert to fraction form
    78,834.66/118,288.92 = 34,455.66/x
  3. Step 3: Cross multiply
    78,834.66x = 118,288.92 × 34,455.66
  4. Step 4: Simplify right side
    78,834.66x = 4,075,722,809.29
  5. Step 5: Solve for x
    x = 4,075,722,809.29/78,834.66
  6. Step 6: Final answer
    x = 51,699.63

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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.