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Finding the Fourth Proportional to 74,475, 102,775.68 and 40,943.16

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Solution

The fourth proportional to 74,475, 102,775.68 and 40,943.16 is: 56,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 102,775.68 = 40,943.16 : x
  2. Step 2: Convert to fraction form
    74,475/102,775.68 = 40,943.16/x
  3. Step 3: Cross multiply
    74,475x = 102,775.68 × 40,943.16
  4. Step 4: Simplify right side
    74,475x = 4,207,961,110.35
  5. Step 5: Solve for x
    x = 4,207,961,110.35/74,475
  6. Step 6: Final answer
    x = 56,501.66

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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.