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Finding the Fourth Proportional to 56,543.60, 84,815.40 and 51,705.20

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Solution

The fourth proportional to 56,543.60, 84,815.40 and 51,705.20 is: 77,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,543.60 : 84,815.40 = 51,705.20 : x
  2. Step 2: Convert to fraction form
    56,543.60/84,815.40 = 51,705.20/x
  3. Step 3: Cross multiply
    56,543.60x = 84,815.40 × 51,705.20
  4. Step 4: Simplify right side
    56,543.60x = 4,385,397,220.08
  5. Step 5: Solve for x
    x = 4,385,397,220.08/56,543.60
  6. Step 6: Final answer
    x = 77,557.80

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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.