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Finding the Fourth Proportional to 78,188.64, 107,897.66 and 46,338.62

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Solution

The fourth proportional to 78,188.64, 107,897.66 and 46,338.62 is: 63,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188.64 : 107,897.66 = 46,338.62 : x
  2. Step 2: Convert to fraction form
    78,188.64/107,897.66 = 46,338.62/x
  3. Step 3: Cross multiply
    78,188.64x = 107,897.66 × 46,338.62
  4. Step 4: Simplify right side
    78,188.64x = 4,999,828,665.63
  5. Step 5: Solve for x
    x = 4,999,828,665.63/78,188.64
  6. Step 6: Final answer
    x = 63,945.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.