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Finding the Fourth Proportional to 74,992.12, 103,509.66 and 46,681

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Solution

The fourth proportional to 74,992.12, 103,509.66 and 46,681 is: 64,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,992.12 : 103,509.66 = 46,681 : x
  2. Step 2: Convert to fraction form
    74,992.12/103,509.66 = 46,681/x
  3. Step 3: Cross multiply
    74,992.12x = 103,509.66 × 46,681
  4. Step 4: Simplify right side
    74,992.12x = 4,831,934,438.46
  5. Step 5: Solve for x
    x = 4,831,934,438.46/74,992.12
  6. Step 6: Final answer
    x = 64,432.56

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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.