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Finding the Fourth Proportional to 119,555.76, 164,931.52 and 77,128

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Solution

The fourth proportional to 119,555.76, 164,931.52 and 77,128 is: 106,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,555.76 : 164,931.52 = 77,128 : x
  2. Step 2: Convert to fraction form
    119,555.76/164,931.52 = 77,128/x
  3. Step 3: Cross multiply
    119,555.76x = 164,931.52 × 77,128
  4. Step 4: Simplify right side
    119,555.76x = 12,720,838,274.56
  5. Step 5: Solve for x
    x = 12,720,838,274.56/119,555.76
  6. Step 6: Final answer
    x = 106,400.88

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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.