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Finding the Fourth Proportional to 113,412.60, 170,118.90 and 77,983.20

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Solution

The fourth proportional to 113,412.60, 170,118.90 and 77,983.20 is: 116,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,412.60 : 170,118.90 = 77,983.20 : x
  2. Step 2: Convert to fraction form
    113,412.60/170,118.90 = 77,983.20/x
  3. Step 3: Cross multiply
    113,412.60x = 170,118.90 × 77,983.20
  4. Step 4: Simplify right side
    113,412.60x = 13,266,416,202.48
  5. Step 5: Solve for x
    x = 13,266,416,202.48/113,412.60
  6. Step 6: Final answer
    x = 116,974.80

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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.