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Finding the Fourth Proportional to 208,064.66, 312,023.18 and 74,909.16

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Solution

The fourth proportional to 208,064.66, 312,023.18 and 74,909.16 is: 112,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064.66 : 312,023.18 = 74,909.16 : x
  2. Step 2: Convert to fraction form
    208,064.66/312,023.18 = 74,909.16/x
  3. Step 3: Cross multiply
    208,064.66x = 312,023.18 × 74,909.16
  4. Step 4: Simplify right side
    208,064.66x = 23,373,394,314.33
  5. Step 5: Solve for x
    x = 23,373,394,314.33/208,064.66
  6. Step 6: Final answer
    x = 112,337.17

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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.