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Finding the Fourth Proportional to 197,700.76, 272,824.50 and 112,819.24

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Solution

The fourth proportional to 197,700.76, 272,824.50 and 112,819.24 is: 155,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,700.76 : 272,824.50 = 112,819.24 : x
  2. Step 2: Convert to fraction form
    197,700.76/272,824.50 = 112,819.24/x
  3. Step 3: Cross multiply
    197,700.76x = 272,824.50 × 112,819.24
  4. Step 4: Simplify right side
    197,700.76x = 30,779,852,743.38
  5. Step 5: Solve for x
    x = 30,779,852,743.38/197,700.76
  6. Step 6: Final answer
    x = 155,689.10

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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.