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Finding the Fourth Proportional to 84,030, 115,963.84 and 46,306.68

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Solution

The fourth proportional to 84,030, 115,963.84 and 46,306.68 is: 63,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,030 : 115,963.84 = 46,306.68 : x
  2. Step 2: Convert to fraction form
    84,030/115,963.84 = 46,306.68/x
  3. Step 3: Cross multiply
    84,030x = 115,963.84 × 46,306.68
  4. Step 4: Simplify right side
    84,030x = 5,369,900,430.45
  5. Step 5: Solve for x
    x = 5,369,900,430.45/84,030
  6. Step 6: Final answer
    x = 63,904.56

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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.