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Finding the Fourth Proportional to 127,970.80, 191,869.80 and 68,009.20

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Solution

The fourth proportional to 127,970.80, 191,869.80 and 68,009.20 is: 101,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970.80 : 191,869.80 = 68,009.20 : x
  2. Step 2: Convert to fraction form
    127,970.80/191,869.80 = 68,009.20/x
  3. Step 3: Cross multiply
    127,970.80x = 191,869.80 × 68,009.20
  4. Step 4: Simplify right side
    127,970.80x = 13,048,911,602.16
  5. Step 5: Solve for x
    x = 13,048,911,602.16/127,970.80
  6. Step 6: Final answer
    x = 101,967.88

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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.