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Finding the Fourth Proportional to 84,720, 116,916.48 and 54,963.84

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Solution

The fourth proportional to 84,720, 116,916.48 and 54,963.84 is: 75,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,720 : 116,916.48 = 54,963.84 : x
  2. Step 2: Convert to fraction form
    84,720/116,916.48 = 54,963.84/x
  3. Step 3: Cross multiply
    84,720x = 116,916.48 × 54,963.84
  4. Step 4: Simplify right side
    84,720x = 6,426,178,700.08
  5. Step 5: Solve for x
    x = 6,426,178,700.08/84,720
  6. Step 6: Final answer
    x = 75,851.97

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1.5x scale

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.