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Finding the Fourth Proportional to 78,705.87, 108,610.92 and 42,895.11

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Solution

The fourth proportional to 78,705.87, 108,610.92 and 42,895.11 is: 59,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,705.87 : 108,610.92 = 42,895.11 : x
  2. Step 2: Convert to fraction form
    78,705.87/108,610.92 = 42,895.11/x
  3. Step 3: Cross multiply
    78,705.87x = 108,610.92 × 42,895.11
  4. Step 4: Simplify right side
    78,705.87x = 4,658,877,360.60
  5. Step 5: Solve for x
    x = 4,658,877,360.60/78,705.87
  6. Step 6: Final answer
    x = 59,193.52

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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.