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Finding the Fourth Proportional to 77,513.57, 106,968.78 and 45,270.17

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Solution

The fourth proportional to 77,513.57, 106,968.78 and 45,270.17 is: 62,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,513.57 : 106,968.78 = 45,270.17 : x
  2. Step 2: Convert to fraction form
    77,513.57/106,968.78 = 45,270.17/x
  3. Step 3: Cross multiply
    77,513.57x = 106,968.78 × 45,270.17
  4. Step 4: Simplify right side
    77,513.57x = 4,842,494,320.45
  5. Step 5: Solve for x
    x = 4,842,494,320.45/77,513.57
  6. Step 6: Final answer
    x = 62,472.86

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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.