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Finding the Fourth Proportional to 93,380, 140,071.22 and 31,050.50

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Solution

The fourth proportional to 93,380, 140,071.22 and 31,050.50 is: 46,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,380 : 140,071.22 = 31,050.50 : x
  2. Step 2: Convert to fraction form
    93,380/140,071.22 = 31,050.50/x
  3. Step 3: Cross multiply
    93,380x = 140,071.22 × 31,050.50
  4. Step 4: Simplify right side
    93,380x = 4,349,281,416.61
  5. Step 5: Solve for x
    x = 4,349,281,416.61/93,380
  6. Step 6: Final answer
    x = 46,576.16

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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.