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Finding the Fourth Proportional to 55,764.60, 83,646.90 and 39,143.40

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Solution

The fourth proportional to 55,764.60, 83,646.90 and 39,143.40 is: 58,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,764.60 : 83,646.90 = 39,143.40 : x
  2. Step 2: Convert to fraction form
    55,764.60/83,646.90 = 39,143.40/x
  3. Step 3: Cross multiply
    55,764.60x = 83,646.90 × 39,143.40
  4. Step 4: Simplify right side
    55,764.60x = 3,274,224,065.46
  5. Step 5: Solve for x
    x = 3,274,224,065.46/55,764.60
  6. Step 6: Final answer
    x = 58,715.10

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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.