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Finding the Fourth Proportional to 157,176.52, 216,908.50 and 85,561.32

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Solution

The fourth proportional to 157,176.52, 216,908.50 and 85,561.32 is: 118,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,176.52 : 216,908.50 = 85,561.32 : x
  2. Step 2: Convert to fraction form
    157,176.52/216,908.50 = 85,561.32/x
  3. Step 3: Cross multiply
    157,176.52x = 216,908.50 × 85,561.32
  4. Step 4: Simplify right side
    157,176.52x = 18,558,977,579.22
  5. Step 5: Solve for x
    x = 18,558,977,579.22/157,176.52
  6. Step 6: Final answer
    x = 118,077.29

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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.