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Finding the Fourth Proportional to 84,082.61, 115,968.36 and 53,870.75

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Solution

The fourth proportional to 84,082.61, 115,968.36 and 53,870.75 is: 74,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,082.61 : 115,968.36 = 53,870.75 : x
  2. Step 2: Convert to fraction form
    84,082.61/115,968.36 = 53,870.75/x
  3. Step 3: Cross multiply
    84,082.61x = 115,968.36 × 53,870.75
  4. Step 4: Simplify right side
    84,082.61x = 6,247,301,957.34
  5. Step 5: Solve for x
    x = 6,247,301,957.34/84,082.61
  6. Step 6: Final answer
    x = 74,299.58

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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.