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Finding the Fourth Proportional to 73,999.72, 102,117.54 and 40,465

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Solution

The fourth proportional to 73,999.72, 102,117.54 and 40,465 is: 55,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,999.72 : 102,117.54 = 40,465 : x
  2. Step 2: Convert to fraction form
    73,999.72/102,117.54 = 40,465/x
  3. Step 3: Cross multiply
    73,999.72x = 102,117.54 × 40,465
  4. Step 4: Simplify right side
    73,999.72x = 4,132,186,256.10
  5. Step 5: Solve for x
    x = 4,132,186,256.10/73,999.72
  6. Step 6: Final answer
    x = 55,840.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.