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Finding the Fourth Proportional to 77,976.65, 107,607.78 and 42,166.67

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Solution

The fourth proportional to 77,976.65, 107,607.78 and 42,166.67 is: 58,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976.65 : 107,607.78 = 42,166.67 : x
  2. Step 2: Convert to fraction form
    77,976.65/107,607.78 = 42,166.67/x
  3. Step 3: Cross multiply
    77,976.65x = 107,607.78 × 42,166.67
  4. Step 4: Simplify right side
    77,976.65x = 4,537,461,210.65
  5. Step 5: Solve for x
    x = 4,537,461,210.65/77,976.65
  6. Step 6: Final answer
    x = 58,190.00

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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.