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Finding the Fourth Proportional to 115,071.77, 158,848.14 and 77,367.89

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Solution

The fourth proportional to 115,071.77, 158,848.14 and 77,367.89 is: 106,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,071.77 : 158,848.14 = 77,367.89 : x
  2. Step 2: Convert to fraction form
    115,071.77/158,848.14 = 77,367.89/x
  3. Step 3: Cross multiply
    115,071.77x = 158,848.14 × 77,367.89
  4. Step 4: Simplify right side
    115,071.77x = 12,289,744,627.98
  5. Step 5: Solve for x
    x = 12,289,744,627.98/115,071.77
  6. Step 6: Final answer
    x = 106,800.70

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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.