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Finding the Fourth Proportional to 106,690.71, 147,048.08 and 77,963.43

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Solution

The fourth proportional to 106,690.71, 147,048.08 and 77,963.43 is: 107,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,690.71 : 147,048.08 = 77,963.43 : x
  2. Step 2: Convert to fraction form
    106,690.71/147,048.08 = 77,963.43/x
  3. Step 3: Cross multiply
    106,690.71x = 147,048.08 × 77,963.43
  4. Step 4: Simplify right side
    106,690.71x = 11,464,372,301.90
  5. Step 5: Solve for x
    x = 11,464,372,301.90/106,690.71
  6. Step 6: Final answer
    x = 107,454.27

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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.