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Finding the Fourth Proportional to 130,978.76, 180,772.43 and 77,276.97

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Solution

The fourth proportional to 130,978.76, 180,772.43 and 77,276.97 is: 106,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.76 : 180,772.43 = 77,276.97 : x
  2. Step 2: Convert to fraction form
    130,978.76/180,772.43 = 77,276.97/x
  3. Step 3: Cross multiply
    130,978.76x = 180,772.43 × 77,276.97
  4. Step 4: Simplify right side
    130,978.76x = 13,969,545,263.55
  5. Step 5: Solve for x
    x = 13,969,545,263.55/130,978.76
  6. Step 6: Final answer
    x = 106,655.05

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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.