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Finding the Fourth Proportional to 117,083.31, 161,465.29 and 77,722.67

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Solution

The fourth proportional to 117,083.31, 161,465.29 and 77,722.67 is: 107,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,083.31 : 161,465.29 = 77,722.67 : x
  2. Step 2: Convert to fraction form
    117,083.31/161,465.29 = 77,722.67/x
  3. Step 3: Cross multiply
    117,083.31x = 161,465.29 × 77,722.67
  4. Step 4: Simplify right side
    117,083.31x = 12,549,513,451.12
  5. Step 5: Solve for x
    x = 12,549,513,451.12/117,083.31
  6. Step 6: Final answer
    x = 107,184.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.