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Finding the Fourth Proportional to 210,100, 314,973.24 and 97,723.12

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Solution

The fourth proportional to 210,100, 314,973.24 and 97,723.12 is: 146,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,100 : 314,973.24 = 97,723.12 : x
  2. Step 2: Convert to fraction form
    210,100/314,973.24 = 97,723.12/x
  3. Step 3: Cross multiply
    210,100x = 314,973.24 × 97,723.12
  4. Step 4: Simplify right side
    210,100x = 30,780,167,729.31
  5. Step 5: Solve for x
    x = 30,780,167,729.31/210,100
  6. Step 6: Final answer
    x = 146,502.46

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1.5x scale

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.