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Finding the Fourth Proportional to 113,117.60, 169,568.40 and 42,021.20

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Solution

The fourth proportional to 113,117.60, 169,568.40 and 42,021.20 is: 62,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,117.60 : 169,568.40 = 42,021.20 : x
  2. Step 2: Convert to fraction form
    113,117.60/169,568.40 = 42,021.20/x
  3. Step 3: Cross multiply
    113,117.60x = 169,568.40 × 42,021.20
  4. Step 4: Simplify right side
    113,117.60x = 7,125,467,650.08
  5. Step 5: Solve for x
    x = 7,125,467,650.08/113,117.60
  6. Step 6: Final answer
    x = 62,991.68

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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.