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Finding the Fourth Proportional to 114,944, 172,142.40 and 58,645.76

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Solution

The fourth proportional to 114,944, 172,142.40 and 58,645.76 is: 87,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,944 : 172,142.40 = 58,645.76 : x
  2. Step 2: Convert to fraction form
    114,944/172,142.40 = 58,645.76/x
  3. Step 3: Cross multiply
    114,944x = 172,142.40 × 58,645.76
  4. Step 4: Simplify right side
    114,944x = 10,095,421,876.22
  5. Step 5: Solve for x
    x = 10,095,421,876.22/114,944
  6. Step 6: Final answer
    x = 87,829.05

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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.