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Finding the Fourth Proportional to 106,952.90, 147,210.09 and 100,829.30

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Solution

The fourth proportional to 106,952.90, 147,210.09 and 100,829.30 is: 138,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.90 : 147,210.09 = 100,829.30 : x
  2. Step 2: Convert to fraction form
    106,952.90/147,210.09 = 100,829.30/x
  3. Step 3: Cross multiply
    106,952.90x = 147,210.09 × 100,829.30
  4. Step 4: Simplify right side
    106,952.90x = 14,843,090,327.64
  5. Step 5: Solve for x
    x = 14,843,090,327.64/106,952.90
  6. Step 6: Final answer
    x = 138,781.56

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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.