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Finding the Fourth Proportional to 216,725.72, 298,921.74 and 156,495.20

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Solution

The fourth proportional to 216,725.72, 298,921.74 and 156,495.20 is: 215,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,725.72 : 298,921.74 = 156,495.20 : x
  2. Step 2: Convert to fraction form
    216,725.72/298,921.74 = 156,495.20/x
  3. Step 3: Cross multiply
    216,725.72x = 298,921.74 × 156,495.20
  4. Step 4: Simplify right side
    216,725.72x = 46,779,817,485.65
  5. Step 5: Solve for x
    x = 46,779,817,485.65/216,725.72
  6. Step 6: Final answer
    x = 215,848.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.