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Finding the Fourth Proportional to 116,423.50, 160,664.64 and 66,122.50

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Solution

The fourth proportional to 116,423.50, 160,664.64 and 66,122.50 is: 91,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,423.50 : 160,664.64 = 66,122.50 : x
  2. Step 2: Convert to fraction form
    116,423.50/160,664.64 = 66,122.50/x
  3. Step 3: Cross multiply
    116,423.50x = 160,664.64 × 66,122.50
  4. Step 4: Simplify right side
    116,423.50x = 10,623,547,658.40
  5. Step 5: Solve for x
    x = 10,623,547,658.40/116,423.50
  6. Step 6: Final answer
    x = 91,249.17

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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.