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Finding the Fourth Proportional to 210,902.60, 316,661.10 and 148,848.20

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Solution

The fourth proportional to 210,902.60, 316,661.10 and 148,848.20 is: 223,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902.60 : 316,661.10 = 148,848.20 : x
  2. Step 2: Convert to fraction form
    210,902.60/316,661.10 = 148,848.20/x
  3. Step 3: Cross multiply
    210,902.60x = 316,661.10 × 148,848.20
  4. Step 4: Simplify right side
    210,902.60x = 47,134,434,745.02
  5. Step 5: Solve for x
    x = 47,134,434,745.02/210,902.60
  6. Step 6: Final answer
    x = 223,489.11

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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.