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Finding the Fourth Proportional to 210,819.54, 316,271.61 and 77,700.45

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Solution

The fourth proportional to 210,819.54, 316,271.61 and 77,700.45 is: 116,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,819.54 : 316,271.61 = 77,700.45 : x
  2. Step 2: Convert to fraction form
    210,819.54/316,271.61 = 77,700.45/x
  3. Step 3: Cross multiply
    210,819.54x = 316,271.61 × 77,700.45
  4. Step 4: Simplify right side
    210,819.54x = 24,574,446,419.22
  5. Step 5: Solve for x
    x = 24,574,446,419.22/210,819.54
  6. Step 6: Final answer
    x = 116,566.27

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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.