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Finding the Fourth Proportional to 79,897.63, 119,627.85 and 77,780.11

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Solution

The fourth proportional to 79,897.63, 119,627.85 and 77,780.11 is: 116,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,897.63 : 119,627.85 = 77,780.11 : x
  2. Step 2: Convert to fraction form
    79,897.63/119,627.85 = 77,780.11/x
  3. Step 3: Cross multiply
    79,897.63x = 119,627.85 × 77,780.11
  4. Step 4: Simplify right side
    79,897.63x = 9,304,667,332.06
  5. Step 5: Solve for x
    x = 9,304,667,332.06/79,897.63
  6. Step 6: Final answer
    x = 116,457.36

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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.