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Finding the Fourth Proportional to 100,410.59, 138,458.40 and 76,256.08

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Solution

The fourth proportional to 100,410.59, 138,458.40 and 76,256.08 is: 105,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.59 : 138,458.40 = 76,256.08 : x
  2. Step 2: Convert to fraction form
    100,410.59/138,458.40 = 76,256.08/x
  3. Step 3: Cross multiply
    100,410.59x = 138,458.40 × 76,256.08
  4. Step 4: Simplify right side
    100,410.59x = 10,558,295,017.71
  5. Step 5: Solve for x
    x = 10,558,295,017.71/100,410.59
  6. Step 6: Final answer
    x = 105,151.22

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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.