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Finding the Fourth Proportional to 171,856.24, 257,701.02 and 100,802.10

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Solution

The fourth proportional to 171,856.24, 257,701.02 and 100,802.10 is: 151,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,856.24 : 257,701.02 = 100,802.10 : x
  2. Step 2: Convert to fraction form
    171,856.24/257,701.02 = 100,802.10/x
  3. Step 3: Cross multiply
    171,856.24x = 257,701.02 × 100,802.10
  4. Step 4: Simplify right side
    171,856.24x = 25,976,803,988.14
  5. Step 5: Solve for x
    x = 25,976,803,988.14/171,856.24
  6. Step 6: Final answer
    x = 151,154.27

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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.