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Finding the Fourth Proportional to 100,025.08, 138,084.78 and 77,312.78

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Solution

The fourth proportional to 100,025.08, 138,084.78 and 77,312.78 is: 106,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025.08 : 138,084.78 = 77,312.78 : x
  2. Step 2: Convert to fraction form
    100,025.08/138,084.78 = 77,312.78/x
  3. Step 3: Cross multiply
    100,025.08x = 138,084.78 × 77,312.78
  4. Step 4: Simplify right side
    100,025.08x = 10,675,718,334.81
  5. Step 5: Solve for x
    x = 10,675,718,334.81/100,025.08
  6. Step 6: Final answer
    x = 106,730.42

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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.