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Finding the Fourth Proportional to 210,819.48, 316,271.58 and 77,700.48

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Solution

The fourth proportional to 210,819.48, 316,271.58 and 77,700.48 is: 116,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,819.48 : 316,271.58 = 77,700.48 : x
  2. Step 2: Convert to fraction form
    210,819.48/316,271.58 = 77,700.48/x
  3. Step 3: Cross multiply
    210,819.48x = 316,271.58 × 77,700.48
  4. Step 4: Simplify right side
    210,819.48x = 24,574,453,576.36
  5. Step 5: Solve for x
    x = 24,574,453,576.36/210,819.48
  6. Step 6: Final answer
    x = 116,566.33

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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.