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Finding the Fourth Proportional to 210,530.40, 316,087.20 and 166,207.20

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Solution

The fourth proportional to 210,530.40, 316,087.20 and 166,207.20 is: 249,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,530.40 : 316,087.20 = 166,207.20 : x
  2. Step 2: Convert to fraction form
    210,530.40/316,087.20 = 166,207.20/x
  3. Step 3: Cross multiply
    210,530.40x = 316,087.20 × 166,207.20
  4. Step 4: Simplify right side
    210,530.40x = 52,535,968,467.84
  5. Step 5: Solve for x
    x = 52,535,968,467.84/210,530.40
  6. Step 6: Final answer
    x = 249,541.01

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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.