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Finding the Fourth Proportional to 210,756.64, 316,186.80 and 148,548.64

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Solution

The fourth proportional to 210,756.64, 316,186.80 and 148,548.64 is: 222,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,756.64 : 316,186.80 = 148,548.64 : x
  2. Step 2: Convert to fraction form
    210,756.64/316,186.80 = 148,548.64/x
  3. Step 3: Cross multiply
    210,756.64x = 316,186.80 × 148,548.64
  4. Step 4: Simplify right side
    210,756.64x = 46,969,119,125.95
  5. Step 5: Solve for x
    x = 46,969,119,125.95/210,756.64
  6. Step 6: Final answer
    x = 222,859.50

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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.