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Finding the Fourth Proportional to 78,208.63, 107,927.26 and 42,397.72

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Solution

The fourth proportional to 78,208.63, 107,927.26 and 42,397.72 is: 58,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.63 : 107,927.26 = 42,397.72 : x
  2. Step 2: Convert to fraction form
    78,208.63/107,927.26 = 42,397.72/x
  3. Step 3: Cross multiply
    78,208.63x = 107,927.26 × 42,397.72
  4. Step 4: Simplify right side
    78,208.63x = 4,575,869,210.21
  5. Step 5: Solve for x
    x = 4,575,869,210.21/78,208.63
  6. Step 6: Final answer
    x = 58,508.50

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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.