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Finding the Fourth Proportional to 114,655.86, 172,051.46 and 43,638.28

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Solution

The fourth proportional to 114,655.86, 172,051.46 and 43,638.28 is: 65,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,655.86 : 172,051.46 = 43,638.28 : x
  2. Step 2: Convert to fraction form
    114,655.86/172,051.46 = 43,638.28/x
  3. Step 3: Cross multiply
    114,655.86x = 172,051.46 × 43,638.28
  4. Step 4: Simplify right side
    114,655.86x = 7,508,029,785.89
  5. Step 5: Solve for x
    x = 7,508,029,785.89/114,655.86
  6. Step 6: Final answer
    x = 65,483.18

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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.