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Finding the Fourth Proportional to 140,731.20, 210,802.40 and 65,915.20

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Solution

The fourth proportional to 140,731.20, 210,802.40 and 65,915.20 is: 98,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,731.20 : 210,802.40 = 65,915.20 : x
  2. Step 2: Convert to fraction form
    140,731.20/210,802.40 = 65,915.20/x
  3. Step 3: Cross multiply
    140,731.20x = 210,802.40 × 65,915.20
  4. Step 4: Simplify right side
    140,731.20x = 13,895,082,356.48
  5. Step 5: Solve for x
    x = 13,895,082,356.48/140,731.20
  6. Step 6: Final answer
    x = 98,734.91

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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.