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Finding the Fourth Proportional to 81,820.16, 112,911.11 and 46,009.40

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Solution

The fourth proportional to 81,820.16, 112,911.11 and 46,009.40 is: 63,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,820.16 : 112,911.11 = 46,009.40 : x
  2. Step 2: Convert to fraction form
    81,820.16/112,911.11 = 46,009.40/x
  3. Step 3: Cross multiply
    81,820.16x = 112,911.11 × 46,009.40
  4. Step 4: Simplify right side
    81,820.16x = 5,194,972,424.43
  5. Step 5: Solve for x
    x = 5,194,972,424.43/81,820.16
  6. Step 6: Final answer
    x = 63,492.57

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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.