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Finding the Fourth Proportional to 57,646.78, 85,897.12 and 51,358.48

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Solution

The fourth proportional to 57,646.78, 85,897.12 and 51,358.48 is: 76,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646.78 : 85,897.12 = 51,358.48 : x
  2. Step 2: Convert to fraction form
    57,646.78/85,897.12 = 51,358.48/x
  3. Step 3: Cross multiply
    57,646.78x = 85,897.12 × 51,358.48
  4. Step 4: Simplify right side
    57,646.78x = 4,411,545,519.58
  5. Step 5: Solve for x
    x = 4,411,545,519.58/57,646.78
  6. Step 6: Final answer
    x = 76,527.18

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1.5x scale

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.