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Finding the Fourth Proportional to 83,012.90, 114,557.81 and 47,205.10

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Solution

The fourth proportional to 83,012.90, 114,557.81 and 47,205.10 is: 65,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,012.90 : 114,557.81 = 47,205.10 : x
  2. Step 2: Convert to fraction form
    83,012.90/114,557.81 = 47,205.10/x
  3. Step 3: Cross multiply
    83,012.90x = 114,557.81 × 47,205.10
  4. Step 4: Simplify right side
    83,012.90x = 5,407,712,354.41
  5. Step 5: Solve for x
    x = 5,407,712,354.41/83,012.90
  6. Step 6: Final answer
    x = 65,143.04

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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.