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Finding the Fourth Proportional to 116,114.40, 160,250.40 and 65,808

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Solution

The fourth proportional to 116,114.40, 160,250.40 and 65,808 is: 90,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,114.40 : 160,250.40 = 65,808 : x
  2. Step 2: Convert to fraction form
    116,114.40/160,250.40 = 65,808/x
  3. Step 3: Cross multiply
    116,114.40x = 160,250.40 × 65,808
  4. Step 4: Simplify right side
    116,114.40x = 10,545,758,323.20
  5. Step 5: Solve for x
    x = 10,545,758,323.20/116,114.40
  6. Step 6: Final answer
    x = 90,822.14

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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.