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Finding the Fourth Proportional to 100,400.40, 138,547.20 and 57,956.40

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Solution

The fourth proportional to 100,400.40, 138,547.20 and 57,956.40 is: 79,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,400.40 : 138,547.20 = 57,956.40 : x
  2. Step 2: Convert to fraction form
    100,400.40/138,547.20 = 57,956.40/x
  3. Step 3: Cross multiply
    100,400.40x = 138,547.20 × 57,956.40
  4. Step 4: Simplify right side
    100,400.40x = 8,029,696,942.08
  5. Step 5: Solve for x
    x = 8,029,696,942.08/100,400.40
  6. Step 6: Final answer
    x = 79,976.74

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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.