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Finding the Fourth Proportional to 84,838.40, 117,024.64 and 54,613.76

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Solution

The fourth proportional to 84,838.40, 117,024.64 and 54,613.76 is: 75,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,838.40 : 117,024.64 = 54,613.76 : x
  2. Step 2: Convert to fraction form
    84,838.40/117,024.64 = 54,613.76/x
  3. Step 3: Cross multiply
    84,838.40x = 117,024.64 × 54,613.76
  4. Step 4: Simplify right side
    84,838.40x = 6,391,155,603.05
  5. Step 5: Solve for x
    x = 6,391,155,603.05/84,838.40
  6. Step 6: Final answer
    x = 75,333.29

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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.