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Finding the Fourth Proportional to 144,207.56, 216,158.16 and 85,071.08

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Solution

The fourth proportional to 144,207.56, 216,158.16 and 85,071.08 is: 127,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207.56 : 216,158.16 = 85,071.08 : x
  2. Step 2: Convert to fraction form
    144,207.56/216,158.16 = 85,071.08/x
  3. Step 3: Cross multiply
    144,207.56x = 216,158.16 × 85,071.08
  4. Step 4: Simplify right side
    144,207.56x = 18,388,808,122.01
  5. Step 5: Solve for x
    x = 18,388,808,122.01/144,207.56
  6. Step 6: Final answer
    x = 127,516.26

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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.