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Finding the Fourth Proportional to 113,813.10, 170,719.65 and 78,383.70

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Solution

The fourth proportional to 113,813.10, 170,719.65 and 78,383.70 is: 117,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,813.10 : 170,719.65 = 78,383.70 : x
  2. Step 2: Convert to fraction form
    113,813.10/170,719.65 = 78,383.70/x
  3. Step 3: Cross multiply
    113,813.10x = 170,719.65 × 78,383.70
  4. Step 4: Simplify right side
    113,813.10x = 13,381,637,829.71
  5. Step 5: Solve for x
    x = 13,381,637,829.71/113,813.10
  6. Step 6: Final answer
    x = 117,575.55

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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.