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Finding the Fourth Proportional to 78,143.48, 107,835.76 and 45,877.56

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Solution

The fourth proportional to 78,143.48, 107,835.76 and 45,877.56 is: 63,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.48 : 107,835.76 = 45,877.56 : x
  2. Step 2: Convert to fraction form
    78,143.48/107,835.76 = 45,877.56/x
  3. Step 3: Cross multiply
    78,143.48x = 107,835.76 × 45,877.56
  4. Step 4: Simplify right side
    78,143.48x = 4,947,241,549.55
  5. Step 5: Solve for x
    x = 4,947,241,549.55/78,143.48
  6. Step 6: Final answer
    x = 63,309.72

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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.