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Finding the Fourth Proportional to 78,543.76, 108,349.06 and 46,690

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Solution

The fourth proportional to 78,543.76, 108,349.06 and 46,690 is: 64,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.76 : 108,349.06 = 46,690 : x
  2. Step 2: Convert to fraction form
    78,543.76/108,349.06 = 46,690/x
  3. Step 3: Cross multiply
    78,543.76x = 108,349.06 × 46,690
  4. Step 4: Simplify right side
    78,543.76x = 5,058,817,611.40
  5. Step 5: Solve for x
    x = 5,058,817,611.40/78,543.76
  6. Step 6: Final answer
    x = 64,407.63

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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.