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Finding the Fourth Proportional to 78,542.76, 108,347.68 and 46,689

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Solution

The fourth proportional to 78,542.76, 108,347.68 and 46,689 is: 64,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.76 : 108,347.68 = 46,689 : x
  2. Step 2: Convert to fraction form
    78,542.76/108,347.68 = 46,689/x
  3. Step 3: Cross multiply
    78,542.76x = 108,347.68 × 46,689
  4. Step 4: Simplify right side
    78,542.76x = 5,058,644,831.52
  5. Step 5: Solve for x
    x = 5,058,644,831.52/78,542.76
  6. Step 6: Final answer
    x = 64,406.25

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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.