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Finding the Fourth Proportional to 117,706, 162,457.84 and 69,950.16

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Solution

The fourth proportional to 117,706, 162,457.84 and 69,950.16 is: 96,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706 : 162,457.84 = 69,950.16 : x
  2. Step 2: Convert to fraction form
    117,706/162,457.84 = 69,950.16/x
  3. Step 3: Cross multiply
    117,706x = 162,457.84 × 69,950.16
  4. Step 4: Simplify right side
    117,706x = 11,363,951,901.25
  5. Step 5: Solve for x
    x = 11,363,951,901.25/117,706
  6. Step 6: Final answer
    x = 96,545.22

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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.