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Finding the Fourth Proportional to 210,905.60, 316,665.60 and 148,851.20

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Solution

The fourth proportional to 210,905.60, 316,665.60 and 148,851.20 is: 223,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,905.60 : 316,665.60 = 148,851.20 : x
  2. Step 2: Convert to fraction form
    210,905.60/316,665.60 = 148,851.20/x
  3. Step 3: Cross multiply
    210,905.60x = 316,665.60 × 148,851.20
  4. Step 4: Simplify right side
    210,905.60x = 47,136,054,558.72
  5. Step 5: Solve for x
    x = 47,136,054,558.72/210,905.60
  6. Step 6: Final answer
    x = 223,493.61

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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.