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Finding the Fourth Proportional to 137,902.91, 190,325.19 and 77,478.22

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Solution

The fourth proportional to 137,902.91, 190,325.19 and 77,478.22 is: 106,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.91 : 190,325.19 = 77,478.22 : x
  2. Step 2: Convert to fraction form
    137,902.91/190,325.19 = 77,478.22/x
  3. Step 3: Cross multiply
    137,902.91x = 190,325.19 × 77,478.22
  4. Step 4: Simplify right side
    137,902.91x = 14,746,057,470.81
  5. Step 5: Solve for x
    x = 14,746,057,470.81/137,902.91
  6. Step 6: Final answer
    x = 106,930.72

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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.