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Finding the Fourth Proportional to 85,321.08, 128,071.80 and 47,913.12

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Solution

The fourth proportional to 85,321.08, 128,071.80 and 47,913.12 is: 71,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,321.08 : 128,071.80 = 47,913.12 : x
  2. Step 2: Convert to fraction form
    85,321.08/128,071.80 = 47,913.12/x
  3. Step 3: Cross multiply
    85,321.08x = 128,071.80 × 47,913.12
  4. Step 4: Simplify right side
    85,321.08x = 6,136,319,522.02
  5. Step 5: Solve for x
    x = 6,136,319,522.02/85,321.08
  6. Step 6: Final answer
    x = 71,920.32

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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.