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Finding the Fourth Proportional to 77,206.65, 115,829.95 and 45,212.74

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Solution

The fourth proportional to 77,206.65, 115,829.95 and 45,212.74 is: 67,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.65 : 115,829.95 = 45,212.74 : x
  2. Step 2: Convert to fraction form
    77,206.65/115,829.95 = 45,212.74/x
  3. Step 3: Cross multiply
    77,206.65x = 115,829.95 × 45,212.74
  4. Step 4: Simplify right side
    77,206.65x = 5,236,989,400.61
  5. Step 5: Solve for x
    x = 5,236,989,400.61/77,206.65
  6. Step 6: Final answer
    x = 67,830.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.