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Finding the Fourth Proportional to 57,648.78, 85,900.10 and 51,360.48

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Solution

The fourth proportional to 57,648.78, 85,900.10 and 51,360.48 is: 76,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648.78 : 85,900.10 = 51,360.48 : x
  2. Step 2: Convert to fraction form
    57,648.78/85,900.10 = 51,360.48/x
  3. Step 3: Cross multiply
    57,648.78x = 85,900.10 × 51,360.48
  4. Step 4: Simplify right side
    57,648.78x = 4,411,870,368.05
  5. Step 5: Solve for x
    x = 4,411,870,368.05/57,648.78
  6. Step 6: Final answer
    x = 76,530.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.