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Finding the Fourth Proportional to 114,432, 157,916.25 and 69,720

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Solution

The fourth proportional to 114,432, 157,916.25 and 69,720 is: 96,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432 : 157,916.25 = 69,720 : x
  2. Step 2: Convert to fraction form
    114,432/157,916.25 = 69,720/x
  3. Step 3: Cross multiply
    114,432x = 157,916.25 × 69,720
  4. Step 4: Simplify right side
    114,432x = 11,009,920,950
  5. Step 5: Solve for x
    x = 11,009,920,950/114,432
  6. Step 6: Final answer
    x = 96,213.65

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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.