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Finding the Fourth Proportional to 77,173.76, 106,513.42 and 45,342.64

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Solution

The fourth proportional to 77,173.76, 106,513.42 and 45,342.64 is: 62,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,173.76 : 106,513.42 = 45,342.64 : x
  2. Step 2: Convert to fraction form
    77,173.76/106,513.42 = 45,342.64/x
  3. Step 3: Cross multiply
    77,173.76x = 106,513.42 × 45,342.64
  4. Step 4: Simplify right side
    77,173.76x = 4,829,599,658.23
  5. Step 5: Solve for x
    x = 4,829,599,658.23/77,173.76
  6. Step 6: Final answer
    x = 62,580.85

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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.