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Finding the Fourth Proportional to 56,985.60, 85,478.40 and 32,102.40

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Solution

The fourth proportional to 56,985.60, 85,478.40 and 32,102.40 is: 48,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,985.60 : 85,478.40 = 32,102.40 : x
  2. Step 2: Convert to fraction form
    56,985.60/85,478.40 = 32,102.40/x
  3. Step 3: Cross multiply
    56,985.60x = 85,478.40 × 32,102.40
  4. Step 4: Simplify right side
    56,985.60x = 2,744,061,788.16
  5. Step 5: Solve for x
    x = 2,744,061,788.16/56,985.60
  6. Step 6: Final answer
    x = 48,153.60

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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.