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Finding the Fourth Proportional to 178,200, 245,916.48 and 98,712

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Solution

The fourth proportional to 178,200, 245,916.48 and 98,712 is: 136,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,200 : 245,916.48 = 98,712 : x
  2. Step 2: Convert to fraction form
    178,200/245,916.48 = 98,712/x
  3. Step 3: Cross multiply
    178,200x = 245,916.48 × 98,712
  4. Step 4: Simplify right side
    178,200x = 24,274,907,573.76
  5. Step 5: Solve for x
    x = 24,274,907,573.76/178,200
  6. Step 6: Final answer
    x = 136,222.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.