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Finding the Fourth Proportional to 119,937.88, 180,055.86 and 77,679.64

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Solution

The fourth proportional to 119,937.88, 180,055.86 and 77,679.64 is: 116,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,937.88 : 180,055.86 = 77,679.64 : x
  2. Step 2: Convert to fraction form
    119,937.88/180,055.86 = 77,679.64/x
  3. Step 3: Cross multiply
    119,937.88x = 180,055.86 × 77,679.64
  4. Step 4: Simplify right side
    119,937.88x = 13,986,674,384.69
  5. Step 5: Solve for x
    x = 13,986,674,384.69/119,937.88
  6. Step 6: Final answer
    x = 116,615.99

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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.