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Finding the Fourth Proportional to 56,406.60, 84,728.70 and 47,658.60

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Solution

The fourth proportional to 56,406.60, 84,728.70 and 47,658.60 is: 71,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.60 : 84,728.70 = 47,658.60 : x
  2. Step 2: Convert to fraction form
    56,406.60/84,728.70 = 47,658.60/x
  3. Step 3: Cross multiply
    56,406.60x = 84,728.70 × 47,658.60
  4. Step 4: Simplify right side
    56,406.60x = 4,038,051,221.82
  5. Step 5: Solve for x
    x = 4,038,051,221.82/56,406.60
  6. Step 6: Final answer
    x = 71,588.28

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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.