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Finding the Fourth Proportional to 113,438.60, 170,157.90 and 78,009.20

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Solution

The fourth proportional to 113,438.60, 170,157.90 and 78,009.20 is: 117,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,438.60 : 170,157.90 = 78,009.20 : x
  2. Step 2: Convert to fraction form
    113,438.60/170,157.90 = 78,009.20/x
  3. Step 3: Cross multiply
    113,438.60x = 170,157.90 × 78,009.20
  4. Step 4: Simplify right side
    113,438.60x = 13,273,881,652.68
  5. Step 5: Solve for x
    x = 13,273,881,652.68/113,438.60
  6. Step 6: Final answer
    x = 117,013.80

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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.