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Finding the Fourth Proportional to 106,953.40, 147,210.78 and 100,829.80

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Solution

The fourth proportional to 106,953.40, 147,210.78 and 100,829.80 is: 138,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953.40 : 147,210.78 = 100,829.80 : x
  2. Step 2: Convert to fraction form
    106,953.40/147,210.78 = 100,829.80/x
  3. Step 3: Cross multiply
    106,953.40x = 147,210.78 × 100,829.80
  4. Step 4: Simplify right side
    106,953.40x = 14,843,233,505.24
  5. Step 5: Solve for x
    x = 14,843,233,505.24/106,953.40
  6. Step 6: Final answer
    x = 138,782.25

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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.