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Finding the Fourth Proportional to 78,013.36, 107,658 and 42,203.26

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Solution

The fourth proportional to 78,013.36, 107,658 and 42,203.26 is: 58,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,013.36 : 107,658 = 42,203.26 : x
  2. Step 2: Convert to fraction form
    78,013.36/107,658 = 42,203.26/x
  3. Step 3: Cross multiply
    78,013.36x = 107,658 × 42,203.26
  4. Step 4: Simplify right side
    78,013.36x = 4,543,518,565.08
  5. Step 5: Solve for x
    x = 4,543,518,565.08/78,013.36
  6. Step 6: Final answer
    x = 58,240.26

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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.