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Finding the Fourth Proportional to 84,302.34, 116,431.11 and 65,410.53

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Solution

The fourth proportional to 84,302.34, 116,431.11 and 65,410.53 is: 90,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,302.34 : 116,431.11 = 65,410.53 : x
  2. Step 2: Convert to fraction form
    84,302.34/116,431.11 = 65,410.53/x
  3. Step 3: Cross multiply
    84,302.34x = 116,431.11 × 65,410.53
  4. Step 4: Simplify right side
    84,302.34x = 7,615,820,613.59
  5. Step 5: Solve for x
    x = 7,615,820,613.59/84,302.34
  6. Step 6: Final answer
    x = 90,339.37

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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.