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Finding the Fourth Proportional to 128,564.61, 177,419.14 and 78,263.61

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Solution

The fourth proportional to 128,564.61, 177,419.14 and 78,263.61 is: 108,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,564.61 : 177,419.14 = 78,263.61 : x
  2. Step 2: Convert to fraction form
    128,564.61/177,419.14 = 78,263.61/x
  3. Step 3: Cross multiply
    128,564.61x = 177,419.14 × 78,263.61
  4. Step 4: Simplify right side
    128,564.61x = 13,885,462,379.50
  5. Step 5: Solve for x
    x = 13,885,462,379.50/128,564.61
  6. Step 6: Final answer
    x = 108,003.77

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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.