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Finding the Fourth Proportional to 130,805.91, 180,518.13 and 77,093.19

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Solution

The fourth proportional to 130,805.91, 180,518.13 and 77,093.19 is: 106,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,805.91 : 180,518.13 = 77,093.19 : x
  2. Step 2: Convert to fraction form
    130,805.91/180,518.13 = 77,093.19/x
  3. Step 3: Cross multiply
    130,805.91x = 180,518.13 × 77,093.19
  4. Step 4: Simplify right side
    130,805.91x = 13,916,718,494.53
  5. Step 5: Solve for x
    x = 13,916,718,494.53/130,805.91
  6. Step 6: Final answer
    x = 106,392.12

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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.