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Finding the Fourth Proportional to 113,812.86, 170,675.54 and 78,645.90

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Solution

The fourth proportional to 113,812.86, 170,675.54 and 78,645.90 is: 117,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,812.86 : 170,675.54 = 78,645.90 : x
  2. Step 2: Convert to fraction form
    113,812.86/170,675.54 = 78,645.90/x
  3. Step 3: Cross multiply
    113,812.86x = 170,675.54 × 78,645.90
  4. Step 4: Simplify right side
    113,812.86x = 13,422,931,451.29
  5. Step 5: Solve for x
    x = 13,422,931,451.29/113,812.86
  6. Step 6: Final answer
    x = 117,938.62

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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.