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Finding the Fourth Proportional to 140,647.70, 210,972.43 and 57,541.70

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Solution

The fourth proportional to 140,647.70, 210,972.43 and 57,541.70 is: 86,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,647.70 : 210,972.43 = 57,541.70 : x
  2. Step 2: Convert to fraction form
    140,647.70/210,972.43 = 57,541.70/x
  3. Step 3: Cross multiply
    140,647.70x = 210,972.43 × 57,541.70
  4. Step 4: Simplify right side
    140,647.70x = 12,139,712,275.33
  5. Step 5: Solve for x
    x = 12,139,712,275.33/140,647.70
  6. Step 6: Final answer
    x = 86,312.91

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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.