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Finding the Fourth Proportional to 105,026.60, 157,655.10 and 65,628.20

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Solution

The fourth proportional to 105,026.60, 157,655.10 and 65,628.20 is: 98,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,026.60 : 157,655.10 = 65,628.20 : x
  2. Step 2: Convert to fraction form
    105,026.60/157,655.10 = 65,628.20/x
  3. Step 3: Cross multiply
    105,026.60x = 157,655.10 × 65,628.20
  4. Step 4: Simplify right side
    105,026.60x = 10,346,620,433.82
  5. Step 5: Solve for x
    x = 10,346,620,433.82/105,026.60
  6. Step 6: Final answer
    x = 98,514.29

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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.