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Finding the Fourth Proportional to 78,368.88, 108,143.06 and 46,104.78

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Solution

The fourth proportional to 78,368.88, 108,143.06 and 46,104.78 is: 63,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.88 : 108,143.06 = 46,104.78 : x
  2. Step 2: Convert to fraction form
    78,368.88/108,143.06 = 46,104.78/x
  3. Step 3: Cross multiply
    78,368.88x = 108,143.06 × 46,104.78
  4. Step 4: Simplify right side
    78,368.88x = 4,985,911,989.83
  5. Step 5: Solve for x
    x = 4,985,911,989.83/78,368.88
  6. Step 6: Final answer
    x = 63,621.07

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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.