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Finding the Fourth Proportional to 127,980.94, 191,889.40 and 53,152.74

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Solution

The fourth proportional to 127,980.94, 191,889.40 and 53,152.74 is: 79,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,980.94 : 191,889.40 = 53,152.74 : x
  2. Step 2: Convert to fraction form
    127,980.94/191,889.40 = 53,152.74/x
  3. Step 3: Cross multiply
    127,980.94x = 191,889.40 × 53,152.74
  4. Step 4: Simplify right side
    127,980.94x = 10,199,447,386.96
  5. Step 5: Solve for x
    x = 10,199,447,386.96/127,980.94
  6. Step 6: Final answer
    x = 79,695.05

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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.