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Finding the Fourth Proportional to 74,678, 103,055.64 and 41,146.16

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Solution

The fourth proportional to 74,678, 103,055.64 and 41,146.16 is: 56,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,678 : 103,055.64 = 41,146.16 : x
  2. Step 2: Convert to fraction form
    74,678/103,055.64 = 41,146.16/x
  3. Step 3: Cross multiply
    74,678x = 103,055.64 × 41,146.16
  4. Step 4: Simplify right side
    74,678x = 4,240,343,852.34
  5. Step 5: Solve for x
    x = 4,240,343,852.34/74,678
  6. Step 6: Final answer
    x = 56,781.70

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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.