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Finding the Fourth Proportional to 140,802.44, 210,931.47 and 78,283.40

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Solution

The fourth proportional to 140,802.44, 210,931.47 and 78,283.40 is: 117,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,802.44 : 210,931.47 = 78,283.40 : x
  2. Step 2: Convert to fraction form
    140,802.44/210,931.47 = 78,283.40/x
  3. Step 3: Cross multiply
    140,802.44x = 210,931.47 × 78,283.40
  4. Step 4: Simplify right side
    140,802.44x = 16,512,431,583.94
  5. Step 5: Solve for x
    x = 16,512,431,583.94/140,802.44
  6. Step 6: Final answer
    x = 117,273.76

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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.