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Finding the Fourth Proportional to 74,745.48, 103,116.36 and 47,507

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Solution

The fourth proportional to 74,745.48, 103,116.36 and 47,507 is: 65,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,745.48 : 103,116.36 = 47,507 : x
  2. Step 2: Convert to fraction form
    74,745.48/103,116.36 = 47,507/x
  3. Step 3: Cross multiply
    74,745.48x = 103,116.36 × 47,507
  4. Step 4: Simplify right side
    74,745.48x = 4,898,748,914.52
  5. Step 5: Solve for x
    x = 4,898,748,914.52/74,745.48
  6. Step 6: Final answer
    x = 65,539.07

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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.