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Finding the Fourth Proportional to 140,509.28, 210,750.26 and 77,308.63

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Solution

The fourth proportional to 140,509.28, 210,750.26 and 77,308.63 is: 115,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,509.28 : 210,750.26 = 77,308.63 : x
  2. Step 2: Convert to fraction form
    140,509.28/210,750.26 = 77,308.63/x
  3. Step 3: Cross multiply
    140,509.28x = 210,750.26 × 77,308.63
  4. Step 4: Simplify right side
    140,509.28x = 16,292,812,959.33
  5. Step 5: Solve for x
    x = 16,292,812,959.33/140,509.28
  6. Step 6: Final answer
    x = 115,955.42

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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.