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Finding the Fourth Proportional to 172,216.60, 257,864.10 and 109,547.80

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Solution

The fourth proportional to 172,216.60, 257,864.10 and 109,547.80 is: 164,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,216.60 : 257,864.10 = 109,547.80 : x
  2. Step 2: Convert to fraction form
    172,216.60/257,864.10 = 109,547.80/x
  3. Step 3: Cross multiply
    172,216.60x = 257,864.10 × 109,547.80
  4. Step 4: Simplify right side
    172,216.60x = 28,248,444,853.98
  5. Step 5: Solve for x
    x = 28,248,444,853.98/172,216.60
  6. Step 6: Final answer
    x = 164,028.58

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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.