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Finding the Fourth Proportional to 78,643.74, 108,527.80 and 42,833.64

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Solution

The fourth proportional to 78,643.74, 108,527.80 and 42,833.64 is: 59,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643.74 : 108,527.80 = 42,833.64 : x
  2. Step 2: Convert to fraction form
    78,643.74/108,527.80 = 42,833.64/x
  3. Step 3: Cross multiply
    78,643.74x = 108,527.80 × 42,833.64
  4. Step 4: Simplify right side
    78,643.74x = 4,648,640,715.19
  5. Step 5: Solve for x
    x = 4,648,640,715.19/78,643.74
  6. Step 6: Final answer
    x = 59,110.12

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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.