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Finding the Fourth Proportional to 83,143.61, 114,733.91 and 45,410.57

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Solution

The fourth proportional to 83,143.61, 114,733.91 and 45,410.57 is: 62,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.61 : 114,733.91 = 45,410.57 : x
  2. Step 2: Convert to fraction form
    83,143.61/114,733.91 = 45,410.57/x
  3. Step 3: Cross multiply
    83,143.61x = 114,733.91 × 45,410.57
  4. Step 4: Simplify right side
    83,143.61x = 5,210,132,024.38
  5. Step 5: Solve for x
    x = 5,210,132,024.38/83,143.61
  6. Step 6: Final answer
    x = 62,664.25

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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.