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Finding the Fourth Proportional to 78,648.63, 108,535.26 and 42,838.53

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Solution

The fourth proportional to 78,648.63, 108,535.26 and 42,838.53 is: 59,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,648.63 : 108,535.26 = 42,838.53 : x
  2. Step 2: Convert to fraction form
    78,648.63/108,535.26 = 42,838.53/x
  3. Step 3: Cross multiply
    78,648.63x = 108,535.26 × 42,838.53
  4. Step 4: Simplify right side
    78,648.63x = 4,649,490,991.57
  5. Step 5: Solve for x
    x = 4,649,490,991.57/78,648.63
  6. Step 6: Final answer
    x = 59,117.25

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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.